Details

analyze878.0ms (11.9%)

Algorithm

1×	search
2×	egg-herbie

Rules

55×	`associate-/l*_binary64`
32×	`associate-/r/_binary64`
31×	`associate-/r*_binary64`
30×	`associate-*r/_binary64`
23×	`*-commutative_binary64`
20×	`times-frac_binary64` `associate-*l/_binary64`
18×	`associate-/l/_binary64`
1×	`swap-a1-a2` `swap-b1-b2`
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` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_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` `1-exp_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-sqrt-square_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-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` `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` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-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` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `count-2_binary64` `associate-l_binary64` `associate-r*_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64` `+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	70
1	61	70
2	146	70
3	223	70
4	228	70
5	228	70
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
18.7%	81.1%	0.2%	9
21.8%	78%	0.2%	10
25%	74.9%	0.2%	11
34.7%	64.9%	0.4%	12
47.2%	51.9%	0.9%	13
49%	49.2%	1.8%	14

Symmetry

(sort a1 a2)

(sort b1 b2)

Compiler

Compiled 8 to 8 computations (0% saved)

sample34.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
2.0ms	58×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`associate-/l*_binary64`
9×	`associate-/r/_binary64` `associate-*r/_binary64`
7×	`*-commutative_binary64`
6×	`associate-/r*_binary64`
4×	`times-frac_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` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_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` `1-exp_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-sqrt-square_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-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` `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` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-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` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `count-2_binary64` `associate-l_binary64` `associate-r*_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64` `+-commutative_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	17	10
2	38	10
3	63	10
4	69	10
5	68	10
6	68	10

prune1.0ms (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

10.5b

Counts

1 → 1

Compiler

Compiled 7 to 7 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

10.2b

(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

rewrite34.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`prod-exp_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `cbrt-unprod_binary64`
1×	`pow1_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `frac-2neg_binary64` `times-frac_binary64` `-un-lft-identity_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l_binary64` `associate-/r*_binary64`

Counts

1 → 21

Calls

1 calls:

5.0ms

(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

Compiler

Compiled 291 to 77 computations (73.5% saved)

series43.0ms (0.6%)

Error

10.5b

Counts

1 → 12

Calls

1 calls:

42.0ms

(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

Compiler

Compiled 175 to 175 computations (0% saved)

simplify86.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

579×	`associate-/r*_binary64`
393×	`associate-l_binary64`
381×	`associate-*l/_binary64`
297×	`associate-*r/_binary64`
271×	`associate-r_binary64`
251×	`div-sub_binary64`
204×	`associate-/l/_binary64`
181×	`times-frac_binary64`
141×	`sub-neg_binary64`
132×	`distribute-rgt-in_binary64`
126×	`*-commutative_binary64`
113×	`associate-/r/_binary64`
98×	`sqr-pow_binary64`
97×	`associate--r+_binary64`
89×	`associate--l+_binary64`
87×	`associate-/l*_binary64`
73×	`distribute-lft-in_binary64`
65×	`unswap-sqr_binary64`
55×	`+-commutative_binary64`
47×	`associate-+l-_binary64` `associate-+l+_binary64`
42×	`associate-+r+_binary64`
40×	`distribute-neg-in_binary64`
35×	`neg-mul-1_binary64`
34×	`log-div_binary64` `cube-div_binary64` `swap-sqr_binary64` `cancel-sign-sub-inv_binary64`
31×	`neg-sub0_binary64` `associate--r-_binary64`
24×	`log-prod_binary64`
23×	`unsub-neg_binary64`
21×	`cube-prod_binary64`
17×	`unpow3_binary64` `cube-mult_binary64`
15×	`sub0-neg_binary64` `pow-sqr_binary64`
14×	`associate-+r-_binary64`
12×	`distribute-lft-neg-in_binary64`
11×	`remove-double-neg_binary64` `+-rgt-identity_binary64`
10×	`--rgt-identity_binary64`
8×	`associate--l-_binary64`
7×	`exp-prod_binary64` `cube-unmult_binary64`
5×	`distribute-rgt-neg-in_binary64`
4×	`mul0-rgt_binary64` `mul0-lft_binary64` `distribute-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-lft-out--_binary64`
2×	`exp-diff_binary64` `*-lft-identity_binary64` `+-lft-identity_binary64`
1×	`exp-sum_binary64` `1-exp_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-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` `log-pow_binary64` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_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-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_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-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `count-2_binary64`

Counts

33 → 11

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	475
1	155	370
2	779	370
3	3457	370
4	3762	370
5	4079	370
6	4763	370
7	5076	370

prune6.0ms (0.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	9	2	11
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	9	3	12

Error

0.1b

Counts

12 → 3

Compiler

Compiled 47 to 32 computations (31.9% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

5.6b	(/.f64 b1 (/.f64 a2 b2))
7.6b	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))

rewrite307.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

471×	`times-frac_binary64`
229×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
57×	`associate-/r*_binary64`
22×	`div-inv_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`div-exp_binary64` `cbrt-undiv_binary64`
6×	`associate-/r/_binary64` `associate-/l*_binary64`
2×	`pow1_binary64` `add-log-exp_binary64` `frac-2neg_binary64` `clear-num_binary64`

Counts

2 → 266

Calls

2 calls:

15.0ms	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
7.0ms	(/.f64 b1 (/.f64 a2 b2))

Compiler

Compiled 5185 to 1256 computations (75.8% saved)

series66.0ms (0.9%)

Error

0.1b

Counts

2 → 21

Calls

2 calls:

40.0ms	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
25.0ms	(/.f64 b1 (/.f64 a2 b2))

Compiler

Compiled 308 to 303 computations (1.6% saved)

simplify305.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

563×	`associate-/r/_binary64`
414×	`associate-/l/_binary64`
381×	`associate-*l/_binary64`
332×	`associate-*r/_binary64`
323×	`*-commutative_binary64`
297×	`sub-neg_binary64`
242×	`associate-/r*_binary64`
168×	`associate-/l*_binary64`
164×	`div-sub_binary64`
111×	`associate-r_binary64`
101×	`*-rgt-identity_binary64`
98×	`times-frac_binary64`
97×	`sqr-pow_binary64`
74×	`associate--r+_binary64`
73×	`unsub-neg_binary64`
71×	`associate-+l-_binary64`
68×	`neg-mul-1_binary64` `associate--l-_binary64`
63×	`associate--r-_binary64`
59×	`associate-+r-_binary64`
57×	`associate--l+_binary64`
55×	`neg-sub0_binary64`
54×	`log-div_binary64` `associate-l_binary64`
49×	`cube-prod_binary64`
47×	`log-prod_binary64`
43×	`associate-+r+_binary64`
41×	`cube-div_binary64`
39×	`associate-+l+_binary64`
38×	`swap-sqr_binary64`
35×	`exp-prod_binary64` `cancel-sign-sub-inv_binary64`
28×	`distribute-rgt-in_binary64`
26×	`unswap-sqr_binary64`
23×	`distribute-neg-in_binary64` `distribute-lft-neg-in_binary64` `+-commutative_binary64`
22×	`distribute-rgt-neg-in_binary64`
21×	`*-lft-identity_binary64`
20×	`sub0-neg_binary64` `remove-double-div_binary64`
17×	`unpow3_binary64` `cube-mult_binary64` `distribute-neg-frac_binary64`
15×	`/-rgt-identity_binary64`
13×	`--rgt-identity_binary64` `pow-sqr_binary64`
11×	`+-rgt-identity_binary64`
8×	`log-rec_binary64` `unpow1/2_binary64` `distribute-lft-in_binary64`
7×	`cube-unmult_binary64`
6×	`div0_binary64`
5×	`remove-double-neg_binary64`
4×	`distribute-lft-neg-out_binary64`
3×	`exp-diff_binary64` `exp-sum_binary64`
2×	`+-lft-identity_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-sqrt-square_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `+-inverses_binary64` `count-2_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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_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` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_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-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64`

Counts

287 → 207

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	448	6532
1	986	6310
2	3704	6307
3	3637	6307
4	4538	6307
5	4664	6307
6	4977	6307

prune154.0ms (2.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	200	7	207
Fresh	0	1	1
Picked	1	0	1
Done	1	0	1
Total	202	8	210

Error

Counts

210 → 8

Compiler

Compiled 3052 to 629 computations (79.4% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

4.0b	(/.f64 a1 (*.f64 b1 b2))
4.8b	(.f64 a2 (/.f64 a1 (.f64 b1 b2)))

rewrite49.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-sqr-sqrt_binary64`
7×	`add-cube-cbrt_binary64` `-un-lft-identity_binary64` `associate-r*_binary64`
6×	`times-frac_binary64`
5×	`prod-exp_binary64` `cbrt-unprod_binary64`
4×	`pow1_binary64` `div-exp_binary64` `cbrt-undiv_binary64`
3×	`associate-l_binary64` `associate-/l*_binary64`
2×	`add-log-exp_binary64` `div-inv_binary64`
1×	`pow-prod-down_binary64` `unswap-sqr_binary64` `associate-r/_binary64` `-commutative_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/r*_binary64`

Counts

2 → 48

Calls

2 calls:

7.0ms	(.f64 a2 (/.f64 a1 (.f64 b1 b2)))
4.0ms	(/.f64 a1 (*.f64 b1 b2))

Compiler

Compiled 602 to 154 computations (74.4% saved)

series67.0ms (0.9%)

Error

Counts

2 → 21

Calls

2 calls:

42.0ms	(.f64 a2 (/.f64 a1 (.f64 b1 b2)))
24.0ms	(/.f64 a1 (*.f64 b1 b2))

Compiler

Compiled 308 to 303 computations (1.6% saved)

simplify97.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

772×	`times-frac_binary64`
466×	`associate-l_binary64`
433×	`associate-*l/_binary64`
425×	`associate-*r/_binary64`
383×	`associate-r_binary64`
372×	`associate-/l*_binary64`
352×	`associate-/r*_binary64`
124×	`associate-+l+_binary64`
109×	`sqr-pow_binary64`
95×	`associate-/l/_binary64`
85×	`log-div_binary64`
82×	`log-prod_binary64`
76×	`associate-/r/_binary64` `associate-+l-_binary64`
73×	`sub-neg_binary64`
72×	`cube-div_binary64`
71×	`cube-prod_binary64`
56×	`exp-prod_binary64`
52×	`associate-+r-_binary64`
50×	`swap-sqr_binary64` `associate--l+_binary64`
48×	`unswap-sqr_binary64`
44×	`*-commutative_binary64`
42×	`*-lft-identity_binary64`
29×	`unpow3_binary64`
27×	`associate--r+_binary64`
26×	`cube-mult_binary64` `*-rgt-identity_binary64`
24×	`rem-sqrt-square_binary64`
23×	`neg-mul-1_binary64` `distribute-neg-in_binary64` `associate--l-_binary64`
22×	`neg-sub0_binary64` `unsub-neg_binary64` `+-commutative_binary64`
17×	`distribute-rgt-in_binary64` `associate-+r+_binary64`
15×	`pow-sqr_binary64`
14×	`associate--r-_binary64`
11×	`/-rgt-identity_binary64`
10×	`log-rec_binary64`
9×	`div-sub_binary64`
8×	`+-rgt-identity_binary64` `cancel-sign-sub-inv_binary64`
7×	`cube-unmult_binary64`
6×	`distribute-neg-out_binary64`
5×	`unpow1/2_binary64` `distribute-neg-frac_binary64` `distribute-lft-neg-in_binary64` `distribute-lft-in_binary64`
3×	`remove-double-neg_binary64` `distribute-rgt-neg-in_binary64`
2×	`+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-rgt-out_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `count-2_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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_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` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `sub0-neg_binary64` `--rgt-identity_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-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64`

Counts

69 → 28

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	80	831
1	192	702
2	739	702
3	3815	702
4	4206	702
5	4960	702
6	4967	702

prune17.0ms (0.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	28	0	28
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	28	8	36

Error

Counts

36 → 8

Compiler

Compiled 257 to 116 computations (54.9% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

5.7b	(*.f64 a1 (/.f64 a2 b2))
5.8b	(.f64 (/.f64 1 b1) (.f64 a1 (/.f64 a2 b2)))

rewrite78.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

46×	`add-exp-log_binary64`
28×	`add-cbrt-cube_binary64`
22×	`prod-exp_binary64` `add-sqr-sqrt_binary64`
19×	`times-frac_binary64`
17×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
16×	`associate-l_binary64`
14×	`associate-r_binary64`
12×	`cbrt-unprod_binary64`
11×	`div-exp_binary64`
9×	`pow1_binary64`
6×	`cbrt-undiv_binary64`
4×	`pow-prod-down_binary64` `associate-*r/_binary64`
3×	`1-exp_binary64` `rec-exp_binary64`
2×	`add-log-exp_binary64` `div-inv_binary64` `*-commutative_binary64` `unswap-sqr_binary64`
1×	`frac-times_binary64` `associate-*l/_binary64`

Counts

2 → 77

Calls

2 calls:

9.0ms	(.f64 (/.f64 1 b1) (.f64 a1 (/.f64 a2 b2)))
6.0ms	(*.f64 a1 (/.f64 a2 b2))

Compiler

Compiled 1181 to 487 computations (58.8% saved)

series69.0ms (0.9%)

Error

Counts

2 → 21

Calls

2 calls:

41.0ms	(.f64 (/.f64 1 b1) (.f64 a1 (/.f64 a2 b2)))
26.0ms	(*.f64 a1 (/.f64 a2 b2))

Compiler

Compiled 346 to 341 computations (1.4% saved)

simplify99.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

465×	`associate-/l*_binary64`
339×	`times-frac_binary64`
314×	`*-commutative_binary64`
242×	`unsub-neg_binary64`
231×	`sub-neg_binary64`
201×	`distribute-rgt-in_binary64`
192×	`associate-/l/_binary64`
176×	`associate-r_binary64`
172×	`sqr-pow_binary64`
165×	`cancel-sign-sub-inv_binary64`
161×	`associate--l-_binary64`
155×	`associate-l_binary64`
141×	`distribute-neg-in_binary64`
127×	`unswap-sqr_binary64`
124×	`associate-/r*_binary64`
119×	`associate-/r/_binary64`
116×	`associate-+r+_binary64`
115×	`associate-+l+_binary64`
108×	`associate-*r/_binary64`
102×	`associate-*l/_binary64`
94×	`associate-+r-_binary64`
92×	`cube-div_binary64`
91×	`log-div_binary64`
87×	`associate--r+_binary64`
79×	`associate-+l-_binary64`
77×	`log-prod_binary64`
76×	`swap-sqr_binary64`
68×	`cube-prod_binary64`
67×	`exp-prod_binary64` `distribute-lft-in_binary64`
60×	`neg-mul-1_binary64`
58×	`associate--r-_binary64`
53×	`neg-sub0_binary64`
43×	`rem-sqrt-square_binary64`
38×	`associate--l+_binary64`
36×	`*-lft-identity_binary64`
34×	`pow-sqr_binary64`
31×	`unpow3_binary64` `*-rgt-identity_binary64`
30×	`cube-mult_binary64`
29×	`/-rgt-identity_binary64`
23×	`+-commutative_binary64`
16×	`log-rec_binary64` `distribute-lft-neg-in_binary64`
13×	`+-rgt-identity_binary64`
11×	`distribute-neg-out_binary64` `distribute-rgt-neg-in_binary64`
9×	`remove-double-neg_binary64` `distribute-lft-neg-out_binary64`
8×	`cube-unmult_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64`
7×	`unpow1/2_binary64` `--rgt-identity_binary64`
6×	`sub0-neg_binary64` `distribute-lft-out_binary64`
5×	`+-lft-identity_binary64`
3×	`distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64`
2×	`remove-double-div_binary64` `distribute-lft1-in_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `distribute-rgt-out--_binary64` `count-2_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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_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` `rem-square-sqrt_binary64` `div-sub_binary64` `mul-1-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64`

Counts

98 → 61

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	134	1236
1	312	1044
2	1164	1044
3	2873	1044
4	3606	1044
5	4719	1044
6	4963	1044

prune29.0ms (0.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	61	8	69

Error

Counts

69 → 8

Compiler

Compiled 489 to 196 computations (59.9% saved)

regimes3.5s (46.9%)

Accuracy

Total 3.1b remaining (99.6%)

Threshold costs 0b (0%)

Compiler

Compiled 28185 to 19990 computations (29.1% saved)

bsearch10.0ms (0.1%)

Compiler: Compiled 7 to 7 computations (0% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
1×	`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` `unpow1_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-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-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	174
1	50	174
2	49	174

end34.0ms (0.5%)

Compiler: Compiled 565 to 220 computations (61.1% saved)

sample1.4s (19.3%)

Algorithm

1×

intervals

Results

243.0ms	8000×	body	128	valid
53.0ms	1871×	body	128	invalid

Compiler

Compiled 198 to 141 computations (28.8% saved)

Details

analyze878.0ms (11.9%)

sample34.0ms (0.5%)

simplify9.0ms (0.1%)

prune1.0ms (0%)

localize5.0ms (0.1%)

rewrite34.0ms (0.5%)

series43.0ms (0.6%)

simplify86.0ms (1.2%)

prune6.0ms (0.1%)

localize6.0ms (0.1%)

rewrite307.0ms (4.2%)

series66.0ms (0.9%)

simplify305.0ms (4.1%)

prune154.0ms (2.1%)

localize5.0ms (0.1%)

rewrite49.0ms (0.7%)

series67.0ms (0.9%)

simplify97.0ms (1.3%)

prune17.0ms (0.2%)

localize7.0ms (0.1%)

rewrite78.0ms (1.1%)

series69.0ms (0.9%)

simplify99.0ms (1.3%)

prune29.0ms (0.4%)

regimes3.5s (46.9%)

bsearch10.0ms (0.1%)

simplify6.0ms (0.1%)

end34.0ms (0.5%)

sample1.4s (19.3%)

Profiling