Details

analyze414.0ms (20%)

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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_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)

sample26.0ms (1.3%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	22×	body	128	invalid

Compiler

Compiled 15 to 18 computations (-20% saved)

simplify12.0ms (0.6%)

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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_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))

rewrite30.0ms (1.5%)

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 (1.9%)

Error

0.0b

Counts

1 → 18

Calls

1 calls:

32.0ms

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

Compiler

Compiled 292 to 216 computations (26% saved)

simplify94.0ms (4.6%)

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×	`fabs-mul_binary64` `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` `fabs-sqr_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` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_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	4960	622

prune21.0ms (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 406 to 210 computations (48.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite44.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`*-un-lft-identity_binary64`
7×	`add-log-exp_binary64`
6×	`add-sqr-sqrt_binary64` `flip3-+_binary64` `associate-*r/_binary64` `flip-+_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `frac-add_binary64` `associate-r_binary64`
3×	`sum-log_binary64` `associate-l_binary64`
2×	`distribute-rgt-out_binary64` `distribute-lft-out_binary64` `distribute-rgt-in_binary64` `associate-+l+_binary64` `distribute-lft-in_binary64`
1×	`distribute-lft1-in_binary64` `associate-+r+_binary64` `+-commutative_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

2 → 45

Calls

2 calls:

9.0ms	(+.f64 (*.f64 z (+.f64 y x)) (+.f64 y x))
6.0ms	(*.f64 z (+.f64 y x))

Compiler

Compiled 782 to 185 computations (76.3% saved)

series67.0ms (3.3%)

Error

Counts

2 → 33

Calls

2 calls:

34.0ms	(+.f64 (*.f64 z (+.f64 y x)) (+.f64 y x))
23.0ms	(*.f64 z (+.f64 y x))

Compiler

Compiled 564 to 395 computations (30% saved)

simplify87.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

413×	`associate--l+_binary64`
365×	`associate-+l+_binary64`
338×	`*-commutative_binary64`
333×	`associate-+r+_binary64`
319×	`distribute-rgt-out_binary64`
304×	`associate--r+_binary64`
243×	`cancel-sign-sub-inv_binary64`
154×	`sub-neg_binary64`
148×	`distribute-rgt-in_binary64`
139×	`distribute-lft-in_binary64`
127×	`unsub-neg_binary64`
122×	`associate-l_binary64`
120×	`neg-mul-1_binary64`
116×	`+-commutative_binary64`
104×	`associate-r_binary64`
92×	`distribute-rgt-neg-in_binary64` `distribute-rgt-out--_binary64`
78×	`distribute-neg-in_binary64`
73×	`distribute-lft-neg-in_binary64`
66×	`exp-sum_binary64`
59×	`distribute-lft-out_binary64`
53×	`neg-sub0_binary64` `sqr-pow_binary64`
39×	`exp-prod_binary64`
35×	`distribute-lft-neg-out_binary64`
30×	`associate--r-_binary64`
26×	`associate--l-_binary64`
24×	`distribute-rgt1-in_binary64`
23×	`distribute-rgt-neg-out_binary64`
21×	`associate-+r-_binary64`
20×	`unswap-sqr_binary64`
19×	`distribute-lft1-in_binary64`
17×	`+-rgt-identity_binary64`
15×	`cube-prod_binary64` `*-lft-identity_binary64` `associate-+l-_binary64`
14×	`log-prod_binary64` `swap-sqr_binary64`
10×	`*-rgt-identity_binary64`
9×	`distribute-lft-out--_binary64`
8×	`div-sub_binary64` `sub0-neg_binary64`
7×	`pow-plus_binary64`
6×	`unpow3_binary64` `unpow1/2_binary64`
5×	`prod-exp_binary64` `cube-mult_binary64` `pow-sqr_binary64` `difference-of-squares_binary64`
4×	`exp-diff_binary64`
2×	`sqr-neg_binary64` `rem-sqrt-square_binary64` `distribute-neg-out_binary64` `associate-/l*_binary64`
1×	`unpow2_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-unmult_binary64` `difference-of-sqr--1_binary64` `count-2_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` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_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` `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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `remove-double-neg_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` `associate-/r/_binary64` `associate-/r_binary64` `associate-*l/_binary64`

Counts

78 → 56

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	107	995
1	322	926
2	1227	902
3	2782	902
4	4897	902
5	4774	902

prune23.0ms (1.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	56	3	59

Error

Counts

59 → 3

Compiler

Compiled 548 to 187 computations (65.9% saved)

localize11.0ms (0.5%)

Local error

Found 3 expressions with local error:

1.1b	(.f64 (+.f64 z 1) (-.f64 (.f64 x x) (*.f64 y y)))
2.7b	(-.f64 (.f64 x x) (.f64 y y))
27.4b	(/.f64 (.f64 (+.f64 z 1) (-.f64 (.f64 x x) (*.f64 y y))) (-.f64 x y))

rewrite81.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

3 → 80

Calls

3 calls:

12.0ms	(/.f64 (.f64 (+.f64 z 1) (-.f64 (.f64 x x) (*.f64 y y))) (-.f64 x y))
10.0ms	(.f64 (+.f64 z 1) (-.f64 (.f64 x x) (*.f64 y y)))
4.0ms	(-.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 2073 to 672 computations (67.6% saved)

series161.0ms (7.8%)

Error

Counts

3 → 48

Calls

3 calls:

67.0ms	(/.f64 (.f64 (+.f64 z 1) (-.f64 (.f64 x x) (*.f64 y y))) (-.f64 x y))
55.0ms	(.f64 (+.f64 z 1) (-.f64 (.f64 x x) (*.f64 y y)))
27.0ms	(-.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 1400 to 1053 computations (24.8% saved)

simplify119.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

884×	`times-frac_binary64`
306×	`associate-/l/_binary64`
176×	`exp-prod_binary64`
156×	`distribute-rgt-in_binary64`
154×	`div-sub_binary64`
146×	`associate-l_binary64`
145×	`distribute-lft-in_binary64`
133×	`associate-r_binary64`
102×	`log-prod_binary64`
97×	`associate-/l*_binary64`
91×	`*-commutative_binary64`
87×	`log-div_binary64`
73×	`sub-neg_binary64`
70×	`cancel-sign-sub-inv_binary64`
51×	`distribute-rgt-neg-in_binary64`
46×	`unswap-sqr_binary64`
42×	`distribute-lft-neg-in_binary64` `+-commutative_binary64`
41×	`distribute-lft-neg-out_binary64`
40×	`associate-*l/_binary64`
39×	`distribute-rgt-neg-out_binary64`
38×	`sqr-pow_binary64`
37×	`associate-/r*_binary64`
34×	`exp-diff_binary64`
33×	`distribute-rgt-out_binary64`
30×	`neg-sub0_binary64`
29×	`*-rgt-identity_binary64`
28×	`neg-mul-1_binary64` `distribute-neg-in_binary64`
26×	`unpow3_binary64` `cube-prod_binary64` `distribute-neg-frac_binary64`
25×	`associate-*r/_binary64`
22×	`associate-+r+_binary64`
21×	`exp-sum_binary64`
20×	`*-lft-identity_binary64` `associate-/r/_binary64`
19×	`cube-div_binary64`
18×	`log-rec_binary64` `associate-+l+_binary64`
17×	`unsub-neg_binary64`
16×	`swap-sqr_binary64`
14×	`/-rgt-identity_binary64`
13×	`associate--l+_binary64`
12×	`difference-of-squares_binary64`
10×	`distribute-rgt-out--_binary64`
9×	`associate--r+_binary64`
8×	`pow-plus_binary64` `mul-1-neg_binary64`
7×	`cube-unmult_binary64` `distribute-rgt1-in_binary64`
5×	`cube-mult_binary64` `pow-sqr_binary64`
4×	`distribute-lft1-in_binary64`
3×	`unpow1/2_binary64` `*-inverses_binary64` `associate-+r-_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64` `distribute-lft-out_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr-1_binary64` `associate--r-_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` `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` `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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `sub0-neg_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` `difference-of-sqr--1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

128 → 106

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	177	2837
1	500	2363
2	1960	2167
3	4547	2167
4	5001	2167

prune42.0ms (2.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	106	3	109

Error

Counts

109 → 3

Compiler

Compiled 1270 to 530 computations (58.3% saved)

regimes216.0ms (10.5%)

Accuracy

Total 0.0b remaining (70.5%)

Threshold costs 0.0b (70.5%)

Compiler

Compiled 1601 to 1374 computations (14.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`*-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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_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	7	13
1	10	13
2	10	13

end6.0ms (0.3%)

Remove: (sort x y)
Compiler: Compiled 27 to 18 computations (33.3% saved)

sample556.0ms (26.9%)

Algorithm

1×

intervals

Results

202.0ms	7996×	body	128	valid
13.0ms	592×	body	128	invalid
0.0ms	3×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 48 to 41 computations (14.6% saved)

Details

analyze414.0ms (20%)

sample26.0ms (1.3%)

simplify12.0ms (0.6%)

prune1.0ms (0.1%)

localize5.0ms (0.2%)

rewrite30.0ms (1.5%)

series39.0ms (1.9%)

simplify94.0ms (4.6%)

prune21.0ms (1%)

localize5.0ms (0.2%)

rewrite44.0ms (2.1%)

series67.0ms (3.3%)

simplify87.0ms (4.2%)

prune23.0ms (1.1%)

localize11.0ms (0.5%)

rewrite81.0ms (3.9%)

series161.0ms (7.8%)

simplify119.0ms (5.8%)

prune42.0ms (2.1%)

regimes216.0ms (10.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end6.0ms (0.3%)

sample556.0ms (26.9%)

Profiling