Details

analyze432.0ms (17.7%)

Algorithm

1×	search
2×	egg-herbie

Rules

100×	`distribute-rgt-in_binary64`
78×	`associate-+l+_binary64`
66×	`associate-+r+_binary64`
64×	`distribute-lft-in_binary64`
47×	`+-commutative_binary64`
24×	`*-rgt-identity_binary64`
18×	`distribute-rgt-out_binary64` `associate-l_binary64` `associate-r_binary64`
16×	`*-commutative_binary64`
15×	`*-lft-identity_binary64`
1×	`1-exp_binary64` `swap-x-y`
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` `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` `times-frac_binary64` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `/-rgt-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-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	40
1	43	40
2	103	40
3	174	40
4	302	40
5	302	40
6	278	40
7	264	40
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
21.8%	78%	0.1%	7
26.5%	73.3%	0.1%	8
36.7%	63.2%	0.1%	9
41.3%	49.9%	8.7%	10
47.2%	43.3%	9.5%	11
54.4%	35.5%	10.1%	12
57.9%	27.4%	14.7%	13
61.7%	23.2%	15.1%	14

Symmetry

(sort x y)

Compiler

Compiled 8 to 8 computations (0% saved)

sample25.0ms (1%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	16×	body	128	invalid

Compiler

Compiled 15 to 18 computations (-20% saved)

simplify11.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

33×	`distribute-rgt-in_binary64`
26×	`associate-+l+_binary64`
22×	`associate-+r+_binary64`
21×	`distribute-lft-in_binary64`
16×	`+-commutative_binary64`
11×	`*-rgt-identity_binary64`
8×	`distribute-rgt-out_binary64` `associate-l_binary64` `associate-r_binary64`
7×	`*-lft-identity_binary64`
6×	`*-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` `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` `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` `times-frac_binary64` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `/-rgt-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-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_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`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	19	10
2	43	10
3	72	10
4	116	10
5	118	10
6	110	10
7	104	10

prune1.0ms (0.1%)

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

0.0b

Counts

1 → 1

Compiler

Compiled 7 to 7 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (+.f64 x y) (+.f64 z 1))

rewrite38.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`*-un-lft-identity_binary64`
6×	`flip3-+_binary64` `flip-+_binary64`
5×	`add-sqr-sqrt_binary64`
4×	`frac-times_binary64` `associate-l_binary64` `associate-r_binary64`
3×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64`
2×	`associate-l/_binary64` `associate-r/_binary64` `distribute-lft-out_binary64`
1×	`pow-prod-down_binary64` `prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `*-commutative_binary64`

Counts

1 → 30

Calls

1 calls:

8.0ms

(*.f64 (+.f64 x y) (+.f64 z 1))

Compiler

Compiled 456 to 237 computations (48% saved)

series39.0ms (1.6%)

Error

Counts

1 → 18

Calls

1 calls:

30.0ms

(*.f64 (+.f64 x y) (+.f64 z 1))

Compiler

Compiled 292 to 216 computations (26% saved)

simplify94.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

803×	`distribute-rgt-in_binary64`
766×	`distribute-lft-in_binary64`
258×	`unsub-neg_binary64`
250×	`cancel-sign-sub-inv_binary64`
230×	`sub-neg_binary64`
224×	`neg-mul-1_binary64`
216×	`neg-sub0_binary64`
211×	`*-commutative_binary64`
161×	`associate-+r+_binary64`
117×	`associate-+l+_binary64`
104×	`unswap-sqr_binary64`
87×	`sqr-pow_binary64`
79×	`exp-sum_binary64`
78×	`distribute-rgt-out_binary64`
77×	`associate-l_binary64`
72×	`*-rgt-identity_binary64`
70×	`distribute-lft-neg-out_binary64`
64×	`associate-+l-_binary64`
63×	`associate-r_binary64`
62×	`*-lft-identity_binary64` `distribute-rgt-neg-out_binary64`
53×	`exp-prod_binary64`
50×	`associate-+r-_binary64`
43×	`rem-sqrt-square_binary64`
40×	`sub0-neg_binary64`
34×	`distribute-rgt-neg-in_binary64`
33×	`+-commutative_binary64`
29×	`+-rgt-identity_binary64` `distribute-neg-in_binary64`
25×	`associate--r+_binary64`
23×	`distribute-lft-neg-in_binary64`
20×	`remove-double-neg_binary64`
19×	`mul-1-neg_binary64`
16×	`pow-sqr_binary64` `distribute-neg-out_binary64`
14×	`swap-sqr_binary64`
12×	`cube-prod_binary64`
10×	`distribute-rgt1-in_binary64`
9×	`unpow1/2_binary64` `distribute-lft1-in_binary64`
8×	`div-sub_binary64` `difference-of-squares_binary64` `distribute-rgt-out--_binary64`
7×	`log-prod_binary64` `exp-diff_binary64`
6×	`sqr-neg_binary64` `distribute-lft-out_binary64`
3×	`unpow3_binary64` `cube-unmult_binary64` `cube-mult_binary64`
2×	`associate-/l/_binary64` `associate-/l_binary64` `associate-r/_binary64` `associate--l+_binary64`
1×	`pow-plus_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `difference-of-sqr-1_binary64` `count-2_binary64` `associate-/r/_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` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_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-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `times-frac_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` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-lft-out--_binary64` `associate-l/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

48 → 42

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	83	700
1	270	622
2	854	622
3	3032	622
4	3711	622
5	4802	622
6	4982	622

prune24.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	3	43

Error

Counts

43 → 3

Compiler

Compiled 408 to 215 computations (47.3% saved)

localize11.0ms (0.5%)

Local error

Found 2 expressions with local error:

1.4b	(.f64 (+.f64 y x) (-.f64 (.f64 z z) 1))
9.8b	(/.f64 (.f64 (+.f64 y x) (-.f64 (.f64 z z) 1)) (-.f64 z 1))

rewrite86.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`add-sqr-sqrt_binary64`
17×	`*-un-lft-identity_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-cube-cbrt_binary64` `frac-times_binary64` `associate-/l/_binary64`
7×	`times-frac_binary64` `flip3--_binary64` `flip--_binary64` `associate-/r*_binary64`
6×	`difference-of-squares_binary64` `flip3-+_binary64` `flip-+_binary64` `cancel-sign-sub-inv_binary64` `associate-r_binary64`
4×	`pow1_binary64` `associate-l/_binary64` `associate-r/_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-l_binary64`
3×	`difference-of-sqr-1_binary64`
2×	`prod-exp_binary64` `div-exp_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `cbrt-unprod_binary64` `distribute-lft-out--_binary64` `associate-/r/_binary64` `sub-neg_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l_binary64` `pow-prod-down_binary64` `unswap-sqr_binary64` `distribute-lft-out_binary64` `-commutative_binary64`

Counts

2 → 77

Calls

2 calls:

13.0ms	(/.f64 (.f64 (+.f64 y x) (-.f64 (.f64 z z) 1)) (-.f64 z 1))
11.0ms	(.f64 (+.f64 y x) (-.f64 (.f64 z z) 1))

Compiler

Compiled 1706 to 843 computations (50.6% saved)

series126.0ms (5.2%)

Error

Counts

2 → 36

Calls

2 calls:

68.0ms	(/.f64 (.f64 (+.f64 y x) (-.f64 (.f64 z z) 1)) (-.f64 z 1))
47.0ms	(.f64 (+.f64 y x) (-.f64 (.f64 z z) 1))

Compiler

Compiled 1128 to 886 computations (21.5% saved)

simplify128.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

417×	`associate-*l/_binary64`
365×	`associate-/r*_binary64`
297×	`associate-/l/_binary64`
293×	`associate-*r/_binary64`
276×	`associate-/r/_binary64`
143×	`distribute-rgt-in_binary64`
140×	`log-div_binary64`
137×	`associate-l_binary64`
136×	`distribute-lft-in_binary64`
125×	`associate-r_binary64`
117×	`div-sub_binary64`
116×	`exp-prod_binary64`
102×	`associate-/l*_binary64`
92×	`*-commutative_binary64`
77×	`log-prod_binary64`
76×	`sub-neg_binary64`
63×	`exp-sum_binary64`
43×	`times-frac_binary64`
41×	`unsub-neg_binary64`
38×	`+-commutative_binary64`
37×	`exp-diff_binary64`
33×	`distribute-lft-neg-out_binary64`
32×	`*-rgt-identity_binary64`
31×	`cancel-sign-sub-inv_binary64`
30×	`distribute-rgt-out_binary64`
29×	`neg-sub0_binary64` `distribute-rgt-neg-out_binary64`
28×	`neg-mul-1_binary64`
27×	`associate-+r+_binary64`
26×	`sqr-pow_binary64` `distribute-rgt-neg-in_binary64`
23×	`unswap-sqr_binary64`
22×	`log-rec_binary64` `unpow3_binary64` `mul-1-neg_binary64` `*-lft-identity_binary64` `distribute-neg-in_binary64`
20×	`cube-mult_binary64` `distribute-neg-frac_binary64` `distribute-lft-neg-in_binary64`
19×	`cube-prod_binary64`
18×	`cube-div_binary64`
16×	`swap-sqr_binary64`
15×	`/-rgt-identity_binary64`
14×	`associate--r+_binary64`
12×	`associate--l+_binary64`
10×	`exp-neg_binary64` `distribute-lft-out_binary64`
9×	`associate-+l+_binary64`
8×	`cube-unmult_binary64`
7×	`distribute-rgt-out--_binary64`
6×	`distribute-lft1-in_binary64`
5×	`pow-plus_binary64` `distribute-rgt1-in_binary64`
4×	`difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64`
3×	`*-inverses_binary64` `distribute-frac-neg_binary64`
2×	`unpow1/2_binary64` `pow-sqr_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-sqrt-square_binary64` `rgt-mult-inverse_binary64` `difference-of-squares_binary64` `associate--r-_binary64` `associate-+l-_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` `log-pow_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` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_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` `lft-mult-inverse_binary64` `remove-double-div_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

113 → 104

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	169	2413
1	465	2131
2	1820	1999
3	4436	1999
4	4997	1999
5	4955	1999

prune49.0ms (2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	104	3	107

Error

Counts

107 → 3

Compiler

Compiled 1172 to 621 computations (47% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 y x))
0.0b	(sqrt.f64 (+.f64 x y))
0.1b	(*.f64 (+.f64 z 1) (sqrt.f64 (+.f64 y x)))
0.2b	(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (+.f64 z 1) (sqrt.f64 (+.f64 y x))))

rewrite109.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

46×	`sqrt-div_binary64`
35×	`flip3-+_binary64` `flip-+_binary64`
32×	`frac-times_binary64`
21×	`*-un-lft-identity_binary64`
17×	`add-sqr-sqrt_binary64` `sqrt-prod_binary64`
16×	`associate-*r/_binary64`
13×	`pow1_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `associate-l_binary64`
10×	`associate-*l/_binary64`
8×	`associate-r_binary64`
5×	`distribute-lft-out_binary64`
4×	`pow-prod-down_binary64` `prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64`
2×	`*-commutative_binary64` `unswap-sqr_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`

Counts

4 → 112

Calls

4 calls:

17.0ms	(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (+.f64 z 1) (sqrt.f64 (+.f64 y x))))
9.0ms	(*.f64 (+.f64 z 1) (sqrt.f64 (+.f64 y x)))
3.0ms	(sqrt.f64 (+.f64 y x))
3.0ms	(sqrt.f64 (+.f64 x y))

Compiler

Compiled 2597 to 1000 computations (61.5% saved)

series142.0ms (5.8%)

Error

Counts

4 → 54

Calls

4 calls:

47.0ms	(*.f64 (+.f64 z 1) (sqrt.f64 (+.f64 y x)))
33.0ms	(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (+.f64 z 1) (sqrt.f64 (+.f64 y x))))
21.0ms	(sqrt.f64 (+.f64 y x))
20.0ms	(sqrt.f64 (+.f64 x y))

Compiler

Compiled 2050 to 1483 computations (27.7% saved)

simplify100.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

935×	`distribute-rgt-in_binary64`
908×	`distribute-lft-in_binary64`
242×	`associate-r_binary64`
236×	`associate-l_binary64`
217×	`cancel-sign-sub-inv_binary64`
175×	`*-commutative_binary64`
73×	`+-commutative_binary64`
58×	`sub-neg_binary64` `associate-+r+_binary64`
47×	`distribute-rgt-neg-in_binary64`
45×	`associate-+l+_binary64`
43×	`distribute-rgt-out_binary64`
38×	`distribute-lft-neg-in_binary64`
28×	`sqr-pow_binary64`
25×	`associate--l+_binary64`
24×	`-rgt-identity_binary64` `-lft-identity_binary64`
21×	`exp-sum_binary64`
18×	`exp-prod_binary64` `distribute-lft-out_binary64`
15×	`neg-mul-1_binary64` `neg-sub0_binary64`
11×	`cube-prod_binary64`
10×	`log-prod_binary64` `swap-sqr_binary64` `distribute-lft-neg-out_binary64`
9×	`distribute-rgt1-in_binary64`
8×	`mul-1-neg_binary64` `associate--r+_binary64`
7×	`unsub-neg_binary64`
6×	`unswap-sqr_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64`
4×	`cube-unmult_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `associate-/r*_binary64`
3×	`unpow3_binary64` `cube-mult_binary64` `pow-sqr_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
2×	`difference-of-squares_binary64`
1×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `difference-of-sqr-1_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` `pow-base-0_binary64` `unpow1/3_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` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_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` `times-frac_binary64` `div-sub_binary64` `/-rgt-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` `difference-of-sqr--1_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

166 → 118

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	239	3588
1	601	3189
2	1661	3056
3	5023	3056

prune59.0ms (2.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	118	3	121

Error

Counts

121 → 3

Compiler

Compiled 2064 to 887 computations (57% saved)

regimes345.0ms (14.2%)

Accuracy

Total 0.0b remaining (60.9%)

Threshold costs 0.0b (60.9%)

Compiler

Compiled 2898 to 2489 computations (14.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`*-commutative_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` `1-exp_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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	14	16
2	14	16

end9.0ms (0.4%)

Remove: (sort x y)
Compiler: Compiled 33 to 24 computations (27.3% saved)

sample588.0ms (24.2%)

Algorithm

1×

intervals

Results

197.0ms	7998×	body	128	valid
13.0ms	594×	body	128	invalid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 55 to 60 computations (-9.1% saved)

Details

analyze432.0ms (17.7%)

sample25.0ms (1%)

simplify11.0ms (0.5%)

prune1.0ms (0.1%)

localize5.0ms (0.2%)

rewrite38.0ms (1.6%)

series39.0ms (1.6%)

simplify94.0ms (3.9%)

prune24.0ms (1%)

localize11.0ms (0.5%)

rewrite86.0ms (3.5%)

series126.0ms (5.2%)

simplify128.0ms (5.3%)

prune49.0ms (2%)

localize10.0ms (0.4%)

rewrite109.0ms (4.5%)

series142.0ms (5.8%)

simplify100.0ms (4.1%)

prune59.0ms (2.4%)

regimes345.0ms (14.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end9.0ms (0.4%)

sample588.0ms (24.2%)

Profiling