Details

analyze322.0ms (13.3%)

Algorithm

1×	search
2×	egg-herbie

Rules

48×	`cancel-sign-sub-inv_binary64`
40×	`sub-neg_binary64`
27×	`distribute-rgt-in_binary64`
24×	`unsub-neg_binary64` `associate--r+_binary64`
21×	`distribute-rgt-neg-in_binary64`
18×	`distribute-lft-in_binary64` `associate-+l-_binary64`
15×	`distribute-rgt-neg-out_binary64` `associate-l_binary64` `associate-r_binary64` `+-commutative_binary64`
12×	`neg-mul-1_binary64` `neg-sub0_binary64` `*-commutative_binary64`
11×	`distribute-lft-neg-in_binary64`
10×	`distribute-lft-neg-out_binary64`
6×	`sub0-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `associate--r-_binary64` `associate--l+_binary64` `associate-+r+_binary64`
3×	`*-lft-identity_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `distribute-neg-in_binary64` `distribute-rgt-out--_binary64` `associate-+r-_binary64` `associate-+l+_binary64`
1×	`1-exp_binary64` `swap-y-z`
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` `mul-1-neg_binary64` `/-rgt-identity_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` `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_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_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--l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	30	28
2	51	28
3	75	28
4	109	28
5	180	28
6	179	28
7	253	28
8	241	28
9	244	28
10	217	28
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
18.7%	81.1%	0.1%	7
21.8%	78%	0.1%	8
43.7%	56.2%	0.1%	9
54.6%	39.8%	5.6%	10
58.5%	35.5%	6%	11
67.3%	26.5%	6.2%	12
71.7%	19.1%	9.2%	13
74.1%	16.6%	9.4%	14

Symmetry

(sort y z)

Compiler

Compiled 6 to 6 computations (0% saved)

sample21.0ms (0.9%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 11 to 14 computations (-27.3% saved)

simplify13.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

28×	`cancel-sign-sub-inv_binary64`
21×	`sub-neg_binary64`
13×	`neg-mul-1_binary64` `distribute-rgt-neg-in_binary64`
12×	`distribute-rgt-in_binary64`
11×	`unsub-neg_binary64`
10×	`neg-sub0_binary64` `associate--r+_binary64`
8×	`distribute-lft-neg-out_binary64` `+-commutative_binary64`
7×	`+-lft-identity_binary64` `distribute-lft-in_binary64`
6×	`sub0-neg_binary64` `distribute-lft-neg-in_binary64` `associate-+l-_binary64` `*-commutative_binary64`
5×	`distribute-rgt-neg-out_binary64`
4×	`*-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
3×	`remove-double-neg_binary64` `--rgt-identity_binary64` `distribute-neg-in_binary64` `associate-+l+_binary64`
2×	`*-rgt-identity_binary64` `associate--r-_binary64`
1×	`1-exp_binary64` `+-rgt-identity_binary64` `cancel-sign-sub_binary64` `associate-l_binary64` `associate-r_binary64` `associate--l+_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` `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` `mul-1-neg_binary64` `/-rgt-identity_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` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--l-_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	22	7
3	34	7
4	45	7
5	65	7
6	88	7
7	107	7
8	138	7
9	138	7
10	136	7
11	113	7

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

0.0b

Counts

1 → 1

Compiler

Compiled 5 to 5 computations (0% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite10.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

3×	`add-log-exp_binary64`
1×	`diff-log_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `flip3--_binary64` `*-un-lft-identity_binary64` `sub-neg_binary64` `flip--_binary64` `cancel-sign-sub-inv_binary64`

Counts

1 → 12

Calls

1 calls:

3.0ms

(-.f64 x (*.f64 y z))

Compiler

Compiled 143 to 44 computations (69.2% saved)

series29.0ms (1.2%)

Error

0.0b

Counts

1 → 18

Calls

1 calls:

26.0ms

(-.f64 x (*.f64 y z))

Compiler

Compiled 130 to 139 computations (-6.9% saved)

simplify97.0ms (4%)

Algorithm

1×	egg-herbie

Rules

707×	`unsub-neg_binary64`
584×	`times-frac_binary64`
428×	`distribute-rgt-neg-in_binary64`
395×	`neg-sub0_binary64`
378×	`neg-mul-1_binary64`
337×	`distribute-lft-neg-in_binary64`
320×	`associate-l_binary64`
284×	`*-commutative_binary64`
262×	`associate-r_binary64`
240×	`unswap-sqr_binary64`
239×	`distribute-rgt-neg-out_binary64`
238×	`distribute-lft-neg-out_binary64`
195×	`distribute-rgt-in_binary64`
179×	`distribute-rgt-out_binary64`
174×	`cancel-sign-sub-inv_binary64`
159×	`distribute-lft-in_binary64`
146×	`sub-neg_binary64`
138×	`distribute-neg-in_binary64`
88×	`+-commutative_binary64`
87×	`sqr-pow_binary64`
66×	`remove-double-neg_binary64`
56×	`distribute-lft-out_binary64`
44×	`associate-+l-_binary64`
42×	`exp-prod_binary64`
35×	`distribute-neg-out_binary64` `distribute-rgt-out--_binary64`
33×	`sub0-neg_binary64`
32×	`div-sub_binary64`
31×	`exp-sum_binary64`
29×	`cube-prod_binary64` `cancel-sign-sub_binary64`
26×	`pow-sqr_binary64` `difference-of-squares_binary64`
25×	`associate-+r+_binary64`
24×	`mul0-rgt_binary64` `mul0-lft_binary64`
23×	`exp-diff_binary64` `cube-unmult_binary64`
22×	`associate-/r*_binary64`
21×	`associate-+l+_binary64`
19×	`associate--r+_binary64`
18×	`pow-plus_binary64`
16×	`unpow3_binary64` `associate-/l*_binary64`
15×	`associate-+r-_binary64`
14×	`swap-sqr_binary64`
13×	`--rgt-identity_binary64`
10×	`+-rgt-identity_binary64` `associate-*r/_binary64`
8×	`log-prod_binary64` `mul-1-neg_binary64` `associate-/l/_binary64`
6×	`*-lft-identity_binary64`
5×	`cube-mult_binary64` `sqr-neg_binary64` `associate-*l/_binary64` `associate--l+_binary64`
4×	`exp-neg_binary64` `/-rgt-identity_binary64` `distribute-frac-neg_binary64`
3×	`cube-neg_binary64` `distribute-lft-out--_binary64`
2×	`unpow2_binary64` `*-rgt-identity_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-div_binary64` `+-lft-identity_binary64` `distribute-rgt1-in_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` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow1/2_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` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_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` `distribute-neg-frac_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate-/r/_binary64`

Counts

30 → 15

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	263
1	87	248
2	224	248
3	605	248
4	1576	248
5	2559	248
6	4101	248
7	4977	248
8	5423	248

prune7.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	13	2	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	3	16

Error

0.0b

Counts

16 → 3

Compiler

Compiled 136 to 56 computations (58.8% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (*.f64 z y))
0.1b	(pow.f64 (-.f64 x (*.f64 z y)) 3)
38.8b	(cbrt.f64 (pow.f64 (-.f64 x (*.f64 z y)) 3))

rewrite45.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`cbrt-prod_binary64`
9×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
6×	`unpow-prod-down_binary64` `cube-prod_binary64`
5×	`add-log-exp_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `cube-div_binary64`
3×	`flip3--_binary64` `flip--_binary64` `pow-unpow_binary64`
2×	`cbrt-div_binary64` `unpow3_binary64` `cube-mult_binary64` `sqr-pow_binary64`
1×	`pow1/3_binary64` `rem-cbrt-cube_binary64` `pow-pow_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `rem-cube-cbrt_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64`

Counts

3 → 60

Calls

3 calls:

4.0ms	(cbrt.f64 (pow.f64 (-.f64 x (*.f64 z y)) 3))
4.0ms	(pow.f64 (-.f64 x (*.f64 z y)) 3)
3.0ms	(-.f64 x (*.f64 z y))

Compiler

Compiled 834 to 334 computations (60% saved)

series126.0ms (5.2%)

Error

0.0b

Counts

3 → 72

Calls

3 calls:

63.0ms	(pow.f64 (-.f64 x (*.f64 z y)) 3)
27.0ms	(-.f64 x (*.f64 z y))
26.0ms	(cbrt.f64 (pow.f64 (-.f64 x (*.f64 z y)) 3))

Compiler

Compiled 1300 to 1173 computations (9.8% saved)

simplify118.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

371×	`exp-prod_binary64`
308×	`unswap-sqr_binary64`
285×	`cancel-sign-sub-inv_binary64`
251×	`*-commutative_binary64`
232×	`distribute-rgt-in_binary64`
229×	`distribute-lft-in_binary64`
206×	`log-prod_binary64`
203×	`distribute-rgt-neg-in_binary64`
191×	`distribute-lft-neg-in_binary64`
180×	`sqr-pow_binary64`
153×	`swap-sqr_binary64`
131×	`cube-prod_binary64`
101×	`sub-neg_binary64` `distribute-lft-neg-out_binary64`
100×	`unpow3_binary64`
94×	`distribute-rgt-out_binary64`
91×	`distribute-rgt-neg-out_binary64`
88×	`associate-r_binary64`
87×	`distribute-rgt-out--_binary64`
73×	`associate-l_binary64`
68×	`exp-sum_binary64`
63×	`neg-sub0_binary64`
61×	`neg-mul-1_binary64`
48×	`pow-sqr_binary64`
47×	`unsub-neg_binary64`
46×	`distribute-lft-out--_binary64`
40×	`log-pow_binary64`
34×	`pow-plus_binary64`
26×	`cube-mult_binary64` `+-commutative_binary64`
19×	`associate-+l+_binary64`
17×	`associate-+l-_binary64` `associate-+r+_binary64`
16×	`cube-unmult_binary64` `rem-sqrt-square_binary64` `associate-+r-_binary64`
15×	`difference-of-squares_binary64`
11×	`sub0-neg_binary64` `+-rgt-identity_binary64` `associate--l+_binary64`
8×	`rem-cbrt-cube_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
6×	`unpow2_binary64` `distribute-lft-out_binary64` `associate--r+_binary64`
5×	`exp-diff_binary64` `distribute-neg-in_binary64`
4×	`unpow1/2_binary64` `unpow1_binary64` `exp-neg_binary64` `-rgt-identity_binary64` `-lft-identity_binary64`
3×	`sqr-neg_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-*r/_binary64`
2×	`div-sub_binary64` `mul-1-neg_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `associate-/l*_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_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-rec_binary64` `log-div_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` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `sqr-abs_binary64` `times-frac_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-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` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate-l/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

132 → 86

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	103	2152
1	259	1997
2	828	1811
3	2664	1811
4	4801	1808
5	5105	1808

prune18.0ms (0.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	86	3	89

Error

0.0b

Counts

89 → 3

Compiler

Compiled 474 to 183 computations (61.4% saved)

localize16.0ms (0.7%)

Local error

Found 4 expressions with local error:

1.0b	(+.f64 (.f64 x x) (.f64 z (.f64 y (+.f64 (.f64 z y) x))))
3.0b	(-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z y) 3))
5.9b	(.f64 z (.f64 y (+.f64 (*.f64 z y) x)))
39.8b	(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 z y) 3)) (+.f64 (.f64 x x) (.f64 z (.f64 y (+.f64 (*.f64 z y) x)))))

rewrite152.0ms (6.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

74×	`add-sqr-sqrt_binary64`
40×	`difference-of-squares_binary64`
39×	`times-frac_binary64`
34×	`*-un-lft-identity_binary64`
31×	`sqr-pow_binary64`
24×	`add-cube-cbrt_binary64`
13×	`associate-/l*_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
9×	`pow1_binary64`
8×	`add-log-exp_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `cancel-sign-sub-inv_binary64`
5×	`difference-cubes_binary64` `distribute-lft-out--_binary64`
4×	`associate-*r/_binary64` `associate-+r+_binary64`
3×	`flip3-+_binary64` `flip-+_binary64` `associate-/r_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-l*_binary64`
2×	`flip3--_binary64` `associate-/l/_binary64` `flip--_binary64` `associate-/r/_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64` `associate-r_binary64` `*-commutative_binary64` `diff-log_binary64` `sub-neg_binary64` `unpow3_binary64` `cube-mult_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

4 → 140

Calls

4 calls:

16.0ms	(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 z y) 3)) (+.f64 (.f64 x x) (.f64 z (.f64 y (+.f64 (*.f64 z y) x)))))
10.0ms	(-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z y) 3))
9.0ms	(.f64 z (.f64 y (+.f64 (*.f64 z y) x)))
4.0ms	(+.f64 (.f64 x x) (.f64 z (.f64 y (+.f64 (.f64 z y) x))))

Compiler

Compiled 4848 to 1553 computations (68% saved)

series511.0ms (21.2%)

Error

0.0b

Counts

4 → 81

Calls

4 calls:

292.0ms	(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 z y) 3)) (+.f64 (.f64 x x) (.f64 z (.f64 y (+.f64 (*.f64 z y) x)))))
81.0ms	(+.f64 (.f64 x x) (.f64 z (.f64 y (+.f64 (.f64 z y) x))))
75.0ms	(-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z y) 3))
53.0ms	(.f64 z (.f64 y (+.f64 (*.f64 z y) x)))

Compiler

Compiled 2475 to 1812 computations (26.8% saved)

simplify215.0ms (8.9%)

Algorithm

1×	egg-herbie

Rules

390×	`exp-prod_binary64`
344×	`cancel-sign-sub-inv_binary64`
249×	`unswap-sqr_binary64`
227×	`cube-prod_binary64`
226×	`associate-l_binary64`
218×	`times-frac_binary64`
214×	`associate-r_binary64`
212×	`distribute-rgt-neg-in_binary64`
186×	`distribute-lft-neg-in_binary64`
144×	`distribute-rgt-in_binary64`
136×	`distribute-lft-in_binary64`
105×	`div-sub_binary64`
94×	`*-commutative_binary64`
93×	`associate-/l*_binary64`
90×	`sub-neg_binary64`
70×	`unpow3_binary64`
68×	`distribute-neg-frac_binary64`
64×	`sqr-pow_binary64`
58×	`swap-sqr_binary64`
57×	`cube-mult_binary64`
55×	`neg-mul-1_binary64` `neg-sub0_binary64` `distribute-lft-neg-out_binary64`
48×	`associate-/l/_binary64`
47×	`distribute-neg-in_binary64`
46×	`+-commutative_binary64`
31×	`exp-sum_binary64`
30×	`associate-/r/_binary64`
29×	`log-prod_binary64`
28×	`distribute-rgt-neg-out_binary64`
27×	`difference-of-squares_binary64`
23×	`associate-*l/_binary64`
20×	`cube-div_binary64` `associate-/r*_binary64`
17×	`cube-unmult_binary64`
16×	`exp-diff_binary64` `*-rgt-identity_binary64`
15×	`pow-plus_binary64` `associate-*r/_binary64`
13×	`/-rgt-identity_binary64`
12×	`distribute-rgt-out_binary64`
11×	`exp-neg_binary64`
9×	`associate-+r-_binary64`
8×	`pow-sqr_binary64` `associate-+l+_binary64`
7×	`rem-sqrt-square_binary64` `unsub-neg_binary64` `associate--r+_binary64`
6×	`associate-+r+_binary64`
5×	`log-div_binary64` `+-rgt-identity_binary64`
4×	`log-pow_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64`
2×	`rem-square-sqrt_binary64` `mul-1-neg_binary64` `distribute-rgt-out--_binary64` `associate--l+_binary64`
1×	`div-exp_binary64` `prod-exp_binary64` `1-exp_binary64` `rem-cbrt-cube_binary64` `*-lft-identity_binary64` `remove-double-neg_binary64` `cancel-sign-sub_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-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `sub0-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` `difference-of-sqr-1_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

221 → 180

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	250	6541
1	607	6315
2	2386	6315
3	4451	6207
4	5061	6207

prune66.0ms (2.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	180	0	180
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	180	3	183

Error

0.0b

Counts

183 → 3

Compiler

Compiled 3234 to 995 computations (69.2% saved)

regimes78.0ms (3.2%)

Accuracy

Total 0.0b remaining (12.1%)

Threshold costs 0.0b (12.1%)

Compiler

Compiled 352 to 346 computations (1.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`sub-neg_binary64` `*-commutative_binary64` `+-commutative_binary64`
3×	`neg-mul-1_binary64` `neg-sub0_binary64`
2×	`cancel-sign-sub-inv_binary64` `distribute-rgt-neg-in_binary64`
1×	`distribute-lft-neg-out_binary64` `distribute-lft-neg-in_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` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	22	7
3	28	7
4	32	7
5	33	7
6	33	7

end6.0ms (0.2%)

Remove: (sort y z)
Compiler: Compiled 15 to 15 computations (0% saved)

sample551.0ms (22.8%)

Algorithm

1×

intervals

Results

167.0ms	8000×	body	128	valid
6.0ms	319×	body	128	invalid

Compiler

Compiled 67 to 62 computations (7.5% saved)

Iter	Nodes	Cost
0	12	28
1	30	28
2	51	28
3	75	28
4	109	28
5	180	28
6	179	28
7	253	28
8	241	28
9	244	28
10	217	28
0	3	3
1	3	3

Iter	Nodes	Cost
0	12	28
1	30	28
2	51	28
3	75	28
4	109	28
5	180	28
6	179	28
7	253	28
8	241	28
9	244	28
10	217	28
0	3	3
1	3	3

Details

analyze322.0ms (13.3%)

sample21.0ms (0.9%)

simplify13.0ms (0.5%)

prune1.0ms (0%)

localize4.0ms (0.2%)

rewrite10.0ms (0.4%)

series29.0ms (1.2%)

simplify97.0ms (4%)

prune7.0ms (0.3%)

localize7.0ms (0.3%)

rewrite45.0ms (1.8%)

series126.0ms (5.2%)

simplify118.0ms (4.9%)

prune18.0ms (0.7%)

localize16.0ms (0.7%)

rewrite152.0ms (6.3%)

series511.0ms (21.2%)

simplify215.0ms (8.9%)

prune66.0ms (2.7%)

regimes78.0ms (3.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end6.0ms (0.2%)

sample551.0ms (22.8%)

Profiling

Iter	Nodes	Cost
0	12	28
1	30	28
2	51	28
3	75	28
4	109	28
5	180	28
6	179	28
7	253	28
8	241	28
9	244	28
10	217	28
0	3	3
1	3	3