Details

analyze2.6s (16.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

668×	`times-frac_binary64`
359×	`cancel-sign-sub-inv_binary64`
300×	`associate-/l*_binary64`
286×	`*-commutative_binary64`
260×	`neg-mul-1_binary64` `neg-sub0_binary64`
226×	`distribute-rgt-neg-in_binary64`
200×	`distribute-neg-frac_binary64`
197×	`distribute-lft-neg-in_binary64`
155×	`associate-/r/_binary64`
122×	`associate-/l/_binary64`
109×	`sub-neg_binary64`
93×	`associate-/r*_binary64`
85×	`swap-sqr_binary64`
81×	`associate-*r/_binary64`
65×	`associate-*l/_binary64`
49×	`sqr-pow_binary64`
42×	`associate-l_binary64`
30×	`div-sub_binary64`
29×	`distribute-lft-neg-out_binary64`
28×	`associate-r_binary64`
15×	`sub0-neg_binary64` `associate-+l-_binary64` `+-commutative_binary64`
13×	`unpow2_binary64`
12×	`unpow1/2_binary64` `unpow1_binary64` `rem-sqrt-square_binary64`
1×	`1-exp_binary64` `swap-M-D`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	432
1	374	432
2	1139	432
3	2964	432
4	5015	432
0	6	6
1	6	6

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
5.1%	94.6%	0.3%	13
7%	92.7%	0.3%	14

Symmetry

(sort M D)

Compiler

Compiled 19 to 19 computations (0% saved)

sample60.0ms (0.4%)

Algorithm

1×

intervals

Results

19.0ms	256×	body	128	valid
7.0ms	95×	body	128	nan
4.0ms	52×	body	128	invalid

Compiler

Compiled 37 to 43 computations (-16.2% saved)

simplify45.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

893×	`div-sub_binary64`
645×	`distribute-neg-frac_binary64`
581×	`distribute-rgt-neg-in_binary64`
569×	`distribute-lft-neg-in_binary64`
418×	`associate-/l*_binary64`
372×	`cancel-sign-sub-inv_binary64`
263×	`associate-/l/_binary64`
254×	`*-commutative_binary64`
227×	`times-frac_binary64`
189×	`associate-/r/_binary64`
163×	`associate-/r*_binary64`
133×	`neg-mul-1_binary64`
132×	`neg-sub0_binary64`
91×	`associate-*l/_binary64`
78×	`associate-*r/_binary64`
77×	`associate-l_binary64`
69×	`associate-r_binary64`
31×	`sub-neg_binary64`
22×	`distribute-lft-neg-out_binary64`
20×	`swap-sqr_binary64`
18×	`distribute-rgt-neg-out_binary64`
15×	`distribute-frac-neg_binary64`
8×	`unswap-sqr_binary64`
7×	`sqr-pow_binary64`
4×	`unsub-neg_binary64`
3×	`pow-plus_binary64` `cube-unmult_binary64` `+-commutative_binary64`
2×	`mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
1×	`unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `1-exp_binary64` `rem-sqrt-square_binary64` `sub0-neg_binary64` `associate-+l-_binary64` `associate-+l+_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+r-_binary64` `associate-+r+_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	27
1	42	27
2	111	27
3	718	27
4	2816	27
5	4686	27
6	6100	27

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

15.1b

Counts

1 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.2b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
3.8b	(sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))))
5.4b	(/.f64 (.f64 M D) (.f64 2 d))
13.2b	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))

rewrite246.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

7.3b

Rules

67×	`add-exp-log_binary64`
38×	`add-sqr-sqrt_binary64`
27×	`prod-exp_binary64`
23×	`add-cbrt-cube_binary64`
19×	`div-exp_binary64` `associate-r_binary64`
17×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
15×	`times-frac_binary64`
13×	`associate-l_binary64`
10×	`pow-exp_binary64` `unswap-sqr_binary64`
7×	`pow1_binary64` `cbrt-unprod_binary64` `unpow-prod-down_binary64` `sqrt-prod_binary64`
5×	`cbrt-undiv_binary64`
4×	`add-log-exp_binary64` `sqrt-div_binary64`
3×	`unpow2_binary64` `sqr-pow_binary64` `associate-*r/_binary64` `div-inv_binary64`
2×	`pow-to-exp_binary64` `*-commutative_binary64` `flip3--_binary64` `flip--_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `associate-/l_binary64` `associate-/r_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `pow-prod-down_binary64`

Counts

4 → 116

Calls

4 calls:

13.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))
7.0ms	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
6.0ms	(/.f64 (.f64 M D) (.f64 2 d))
4.0ms	(sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))))

Compiler

Compiled 3226 to 1835 computations (43.1% saved)

series421.0ms (2.6%)

Error

7.5b

Counts

4 → 65

Calls

4 calls:

142.0ms	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
122.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))
104.0ms	(sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))))
33.0ms	(/.f64 (.f64 M D) (.f64 2 d))

Compiler

Compiled 3114 to 2939 computations (5.6% saved)

simplify147.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

279×	`associate-l_binary64`
264×	`distribute-rgt-neg-in_binary64`
258×	`times-frac_binary64`
245×	`distribute-lft-neg-in_binary64` `associate-r_binary64`
215×	`associate-/l*_binary64`
199×	`log-prod_binary64`
161×	`distribute-neg-frac_binary64`
158×	`associate-*r/_binary64`
154×	`*-commutative_binary64`
147×	`cancel-sign-sub-inv_binary64`
133×	`log-div_binary64`
132×	`associate-/r*_binary64`
130×	`associate-*l/_binary64`
94×	`unpow3_binary64`
83×	`unswap-sqr_binary64`
73×	`cube-prod_binary64`
66×	`swap-sqr_binary64`
59×	`exp-prod_binary64` `distribute-rgt-in_binary64`
58×	`sqr-pow_binary64`
57×	`neg-sub0_binary64`
54×	`distribute-lft-in_binary64`
52×	`neg-mul-1_binary64`
48×	`sub-neg_binary64`
39×	`cube-div_binary64`
36×	`-rgt-identity_binary64` `-lft-identity_binary64`
30×	`+-commutative_binary64`
22×	`log-pow_binary64` `associate-/r/_binary64`
19×	`associate-/l/_binary64`
12×	`distribute-lft-neg-out_binary64`
10×	`distribute-rgt-out_binary64`
8×	`unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `unpow1_binary64` `cube-unmult_binary64` `/-rgt-identity_binary64`
7×	`distribute-rgt1-in_binary64`
6×	`associate-+r-_binary64`
5×	`mul-1-neg_binary64` `pow-sqr_binary64` `distribute-lft-out_binary64`
4×	`exp-sqrt_binary64` `rem-sqrt-square_binary64` `distribute-rgt-neg-out_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l+_binary64`
3×	`cube-mult_binary64` `unsub-neg_binary64`
2×	`rem-square-sqrt_binary64` `distribute-neg-in_binary64` `distribute-lft1-in_binary64` `associate-+r+_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `associate-+l-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

181 → 137

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	274	4206
1	683	3951
2	2937	3950
3	4680	3950
4	5020	3950

prune149.0ms (0.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	125	12	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	126	12	138

Error

4.8b

Counts

138 → 12

Compiler

Compiled 2413 to 1418 computations (41.2% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.8b	(sqrt.f64 (-.f64 1 (/.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2)) l)))
5.4b	(/.f64 (.f64 M D) (.f64 2 d))
5.6b	(/.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2)) l)
7.9b	(.f64 h (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2))

rewrite275.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

4.3b

Rules

67×	`add-exp-log_binary64`
26×	`prod-exp_binary64`
23×	`add-cbrt-cube_binary64`
20×	`div-exp_binary64` `add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64`
10×	`pow-exp_binary64` `add-cube-cbrt_binary64` `associate-r_binary64`
6×	`cbrt-unprod_binary64` `unpow-prod-down_binary64` `cbrt-undiv_binary64` `sqrt-prod_binary64`
5×	`pow1_binary64` `times-frac_binary64`
4×	`add-log-exp_binary64` `unswap-sqr_binary64` `associate-/r*_binary64`
3×	`associate-l_binary64` `div-inv_binary64`
2×	`pow-to-exp_binary64` `unpow2_binary64` `sqr-pow_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/l*_binary64` `sqrt-div_binary64` `difference-of-squares_binary64`
1×	`*-commutative_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `flip3--_binary64` `flip--_binary64` `distribute-lft-out--_binary64` `rem-sqrt-square_binary64`

Counts

4 → 99

Calls

4 calls:

8.0ms	(.f64 h (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2))
7.0ms	(/.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2)) l)
6.0ms	(sqrt.f64 (-.f64 1 (/.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2)) l)))
6.0ms	(/.f64 (.f64 M D) (.f64 2 d))

Compiler

Compiled 2610 to 1612 computations (38.2% saved)

series356.0ms (2.2%)

Error

4.8b

Counts

4 → 58

Calls

4 calls:

125.0ms	(/.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2)) l)
104.0ms	(sqrt.f64 (-.f64 1 (/.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2)) l)))
82.0ms	(.f64 h (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2))
33.0ms	(/.f64 (.f64 M D) (.f64 2 d))

Compiler

Compiled 2650 to 2558 computations (3.5% saved)

simplify95.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

819×	`associate-/r/_binary64`
263×	`times-frac_binary64`
225×	`distribute-rgt-neg-in_binary64`
216×	`associate-/l*_binary64`
213×	`distribute-lft-neg-in_binary64`
174×	`distribute-neg-frac_binary64`
154×	`associate-l_binary64`
148×	`associate-r_binary64`
130×	`associate-/r*_binary64`
107×	`cancel-sign-sub-inv_binary64`
97×	`associate-*r/_binary64`
96×	`associate-*l/_binary64`
89×	`*-commutative_binary64`
75×	`unswap-sqr_binary64`
71×	`log-prod_binary64`
63×	`swap-sqr_binary64`
62×	`log-div_binary64`
57×	`sub-neg_binary64`
52×	`exp-prod_binary64`
51×	`cube-prod_binary64`
50×	`sqr-pow_binary64`
49×	`neg-sub0_binary64`
48×	`cube-div_binary64`
46×	`neg-mul-1_binary64`
30×	`distribute-rgt-in_binary64`
26×	`associate-/l/_binary64`
24×	`distribute-lft-in_binary64`
23×	`+-commutative_binary64`
20×	`*-rgt-identity_binary64`
19×	`*-lft-identity_binary64`
12×	`/-rgt-identity_binary64`
11×	`associate--l+_binary64`
10×	`log-pow_binary64`
8×	`unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `unpow1_binary64`
7×	`cube-unmult_binary64` `distribute-lft-neg-out_binary64`
5×	`unpow3_binary64` `distribute-rgt1-in_binary64`
4×	`log-rec_binary64` `exp-sqrt_binary64` `rem-sqrt-square_binary64` `unsub-neg_binary64` `pow-sqr_binary64` `associate--r+_binary64` `associate-+l+_binary64`
3×	`cube-mult_binary64` `div-sub_binary64` `mul-1-neg_binary64` `distribute-lft-out_binary64`
2×	`rem-square-sqrt_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt-out_binary64` `associate-+r+_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

157 → 102

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	224	3228
1	530	3042
2	2326	3033
3	5149	3033

prune96.0ms (0.6%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	99	3	102
Fresh	2	9	11
Picked	0	1	1
Done	0	0	0
Total	101	13	114

Error

3.8b

Counts

114 → 13

Compiler

Compiled 1259 to 827 computations (34.3% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

5.6b	(/.f64 (.f64 (.f64 h (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (cbrt.f64 (/.f64 (.f64 M D) (.f64 2 d))))) (pow.f64 (cbrt.f64 (/.f64 (.f64 M D) (*.f64 2 d))) 2)) l)
6.5b	(.f64 h (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (cbrt.f64 (/.f64 (.f64 M D) (.f64 2 d)))))
16.4b	(cbrt.f64 (/.f64 (.f64 M D) (.f64 2 d)))
16.4b	(cbrt.f64 (/.f64 (.f64 M D) (.f64 2 d)))

rewrite308.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

3.8b

Rules

144×	`add-exp-log_binary64`
81×	`prod-exp_binary64`
61×	`add-cbrt-cube_binary64`
38×	`div-exp_binary64`
37×	`cbrt-unprod_binary64`
16×	`cbrt-undiv_binary64`
10×	`cbrt-prod_binary64`
9×	`pow1_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
8×	`associate-*r/_binary64`
7×	`pow-to-exp_binary64` `pow-exp_binary64`
6×	`cbrt-div_binary64`
5×	`times-frac_binary64` `associate-*l/_binary64`
4×	`add-log-exp_binary64`
3×	`div-inv_binary64` `pow-prod-down_binary64` `associate-l_binary64` `associate-/l/_binary64` `associate-/r*_binary64`
2×	`pow1/3_binary64` `frac-times_binary64`
1×	`associate-r_binary64` `-commutative_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/l_binary64`

Counts

4 → 107

Calls

4 calls:

18.0ms	(/.f64 (.f64 (.f64 h (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (cbrt.f64 (/.f64 (.f64 M D) (.f64 2 d))))) (pow.f64 (cbrt.f64 (/.f64 (.f64 M D) (*.f64 2 d))) 2)) l)
11.0ms	(.f64 h (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (cbrt.f64 (/.f64 (.f64 M D) (.f64 2 d)))))
4.0ms	(cbrt.f64 (/.f64 (.f64 M D) (.f64 2 d)))
4.0ms	(cbrt.f64 (/.f64 (.f64 M D) (.f64 2 d)))

Compiler

Compiled 4712 to 2702 computations (42.7% saved)

series655.0ms (4%)

Error

3.8b

Counts

4 → 45

Calls

4 calls:

211.0ms	(.f64 h (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (cbrt.f64 (/.f64 (.f64 M D) (.f64 2 d)))))
205.0ms	(/.f64 (.f64 (.f64 h (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (cbrt.f64 (/.f64 (.f64 M D) (.f64 2 d))))) (pow.f64 (cbrt.f64 (/.f64 (.f64 M D) (*.f64 2 d))) 2)) l)
87.0ms	(cbrt.f64 (/.f64 (.f64 M D) (.f64 2 d)))
87.0ms	(cbrt.f64 (/.f64 (.f64 M D) (.f64 2 d)))

Compiler

Compiled 4586 to 3847 computations (16.1% saved)

simplify190.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

448×	`associate-l_binary64`
425×	`associate-r_binary64`
376×	`times-frac_binary64`
325×	`associate-/l*_binary64`
277×	`*-commutative_binary64`
262×	`log-prod_binary64`
192×	`log-div_binary64`
175×	`associate-/r*_binary64`
168×	`associate-*r/_binary64`
153×	`associate-*l/_binary64`
112×	`sub-neg_binary64`
110×	`exp-prod_binary64`
92×	`swap-sqr_binary64`
78×	`distribute-rgt-neg-in_binary64`
76×	`sqr-pow_binary64`
72×	`exp-sum_binary64`
64×	`unswap-sqr_binary64`
50×	`distribute-neg-frac_binary64`
49×	`cancel-sign-sub-inv_binary64`
42×	`cube-div_binary64` `unsub-neg_binary64`
36×	`log-pow_binary64`
35×	`unpow1/3_binary64`
32×	`neg-mul-1_binary64` `neg-sub0_binary64` `associate-/r/_binary64` `+-commutative_binary64`
31×	`cube-prod_binary64` `div-sub_binary64`
30×	`exp-diff_binary64` `associate-+l+_binary64`
27×	`distribute-rgt-in_binary64` `associate--l+_binary64`
25×	`associate-/l/_binary64`
23×	`distribute-rgt-neg-out_binary64` `distribute-lft-in_binary64`
19×	`associate-+l-_binary64` `associate-+r+_binary64`
18×	`distribute-lft-neg-out_binary64`
16×	`exp-to-pow_binary64`
14×	`pow-sqr_binary64` `distribute-lft-neg-in_binary64`
13×	`distribute-neg-out_binary64`
12×	`distribute-neg-in_binary64`
11×	`log-rec_binary64` `cube-unmult_binary64`
9×	`pow-plus_binary64`
8×	`*-rgt-identity_binary64` `associate--l-_binary64` `associate-+r-_binary64`
4×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `remove-double-neg_binary64` `associate--r-_binary64` `associate--r+_binary64`
3×	`/-rgt-identity_binary64`
2×	`unpow3_binary64` `exp-sqrt_binary64` `exp-neg_binary64` `cube-mult_binary64` `rem-cube-cbrt_binary64` `*-lft-identity_binary64`
1×	`1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-sqrt-square_binary64` `distribute-rgt-out_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Counts

152 → 137

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	354	5960
1	940	3519
2	3365	3284
3	4703	3250
4	4995	3250
5	4960	3250

prune281.0ms (1.7%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	137	13	150

Error

3.8b

Counts

150 → 13

Compiler

Compiled 2650 to 1707 computations (35.6% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.8b	(sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) (/.f64 2 2)) (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (/.f64 h l)))))
5.4b	(/.f64 (.f64 M D) (.f64 2 d))
5.4b	(/.f64 (.f64 M D) (.f64 2 d))
10.8b	(.f64 (/.f64 (.f64 M D) (*.f64 2 d)) (/.f64 h l))

rewrite627.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

3.8b

Rules

69×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
26×	`prod-exp_binary64` `cbrt-unprod_binary64`
21×	`div-exp_binary64` `cbrt-undiv_binary64`
19×	`add-sqr-sqrt_binary64`
13×	`add-cube-cbrt_binary64` `-un-lft-identity_binary64` `times-frac_binary64` `associate-r*_binary64`
7×	`pow1_binary64`
5×	`associate-l_binary64`
4×	`add-log-exp_binary64` `div-inv_binary64`
3×	`sqrt-prod_binary64`
2×	`unswap-sqr_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/l_binary64` `associate-/r_binary64` `sqrt-div_binary64`
1×	`pow-prod-down_binary64` `frac-times_binary64` `associate-l/_binary64` `associate-r/_binary64` `*-commutative_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `flip3--_binary64` `flip--_binary64` `rem-sqrt-square_binary64`

Counts

4 → 109

Calls

4 calls:

21.0ms	(.f64 (/.f64 (.f64 M D) (*.f64 2 d)) (/.f64 h l))
11.0ms	(sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) (/.f64 2 2)) (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (/.f64 h l)))))
10.0ms	(/.f64 (.f64 M D) (.f64 2 d))
10.0ms	(/.f64 (.f64 M D) (.f64 2 d))

Compiler

Compiled 4144 to 2299 computations (44.5% saved)

series552.0ms (3.4%)

Error

3.8b

Counts

4 → 55

Calls

4 calls:

208.0ms	(sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) (/.f64 2 2)) (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (/.f64 h l)))))
171.0ms	(.f64 (/.f64 (.f64 M D) (*.f64 2 d)) (/.f64 h l))
73.0ms	(/.f64 (.f64 M D) (.f64 2 d))
71.0ms	(/.f64 (.f64 M D) (.f64 2 d))

Compiler

Compiled 3008 to 2667 computations (11.3% saved)

simplify237.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

308×	`times-frac_binary64`
290×	`distribute-rgt-neg-in_binary64`
279×	`associate-l_binary64`
272×	`distribute-lft-neg-in_binary64`
233×	`associate-r_binary64`
232×	`associate-/l*_binary64`
230×	`associate-*r/_binary64`
222×	`associate-*l/_binary64`
215×	`distribute-neg-frac_binary64`
172×	`associate-/r*_binary64`
162×	`*-commutative_binary64`
152×	`log-prod_binary64`
144×	`unpow3_binary64`
119×	`log-div_binary64`
116×	`cancel-sign-sub-inv_binary64`
103×	`cube-prod_binary64`
85×	`cube-div_binary64`
77×	`unswap-sqr_binary64`
66×	`swap-sqr_binary64`
57×	`sub-neg_binary64`
53×	`neg-sub0_binary64`
50×	`neg-mul-1_binary64`
44×	`sqr-pow_binary64`
31×	`exp-prod_binary64`
28×	`associate-/l/_binary64`
24×	`*-lft-identity_binary64`
23×	`*-rgt-identity_binary64`
20×	`associate-/r/_binary64`
18×	`+-commutative_binary64`
12×	`associate-+l-_binary64`
10×	`distribute-lft-neg-out_binary64`
9×	`log-pow_binary64`
8×	`distribute-neg-in_binary64` `associate--l+_binary64` `associate-+l+_binary64`
7×	`cube-unmult_binary64` `cube-mult_binary64`
6×	`/-rgt-identity_binary64`
5×	`pow-plus_binary64` `pow-sqr_binary64` `associate--r+_binary64`
4×	`unpow1/2_binary64` `unpow1_binary64` `exp-sqrt_binary64` `distribute-lft-out_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
3×	`unpow2_binary64` `rem-sqrt-square_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `distribute-rgt-out_binary64`
2×	`div-sub_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
1×	`log-rec_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `distribute-rgt-neg-out_binary64` `associate--r-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

164 → 110

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	214	3538
1	609	2761
2	3005	2746
3	4736	2746
4	5059	2746

prune310.0ms (1.9%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	106	4	110
Fresh	2	8	10
Picked	1	0	1
Done	1	1	2
Total	110	13	123

Error

3.0b

Counts

123 → 13

Compiler

Compiled 2035 to 1082 computations (46.8% saved)

regimes5.5s (33.7%)

Accuracy

Total 4.6b remaining (55.4%)

Threshold costs 0b (0%)

Compiler

Compiled 76111 to 66686 computations (12.4% saved)

bsearch8.0ms (0.1%)

Compiler: Compiled 18 to 18 computations (0% saved)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative_binary64`
18×	`sub-neg_binary64` `+-commutative_binary64`
17×	`neg-mul-1_binary64` `neg-sub0_binary64`
12×	`distribute-rgt-neg-in_binary64`
10×	`distribute-lft-neg-in_binary64`
4×	`cancel-sign-sub-inv_binary64` `distribute-lft-neg-out_binary64`
3×	`distribute-neg-frac_binary64`
2×	`distribute-rgt-neg-out_binary64`
1×	`unpow1_binary64` `1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	97
1	69	97
2	98	97
3	135	97
4	166	97
5	181	97
6	186	97
7	183	97

end10.0ms (0.1%)

Compiler: Compiled 192 to 138 computations (28.1% saved)

sample2.9s (18.2%)

Algorithm

1×

intervals

Results

731.0ms	8000×	body	128	valid
286.0ms	3151×	body	128	nan
120.0ms	1361×	body	128	invalid

Compiler

Compiled 434 to 381 computations (12.2% saved)

Details

analyze2.6s (16.1%)

sample60.0ms (0.4%)

simplify45.0ms (0.3%)

prune2.0ms (0%)

localize21.0ms (0.1%)

rewrite246.0ms (1.5%)

series421.0ms (2.6%)

simplify147.0ms (0.9%)

prune149.0ms (0.9%)

localize16.0ms (0.1%)

rewrite275.0ms (1.7%)

series356.0ms (2.2%)

simplify95.0ms (0.6%)

prune96.0ms (0.6%)

localize22.0ms (0.1%)

rewrite308.0ms (1.9%)

series655.0ms (4%)

simplify190.0ms (1.2%)

prune281.0ms (1.7%)

localize33.0ms (0.2%)

rewrite627.0ms (3.9%)

series552.0ms (3.4%)

simplify237.0ms (1.5%)

prune310.0ms (1.9%)

regimes5.5s (33.7%)

bsearch8.0ms (0.1%)

simplify8.0ms (0%)

end10.0ms (0.1%)

sample2.9s (18.2%)

Profiling