Details

analyze1.3s (18%)

Algorithm

1×	search
2×	egg-herbie

Rules

1602×	`associate-/l/_binary64`
505×	`associate-l_binary64`
420×	`associate-r_binary64`
378×	`associate-/l*_binary64`
290×	`associate-*l/_binary64`
251×	`associate-*r/_binary64`
199×	`times-frac_binary64`
147×	`*-commutative_binary64`
146×	`associate-/r/_binary64`
135×	`associate-/r*_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` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64` `+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	182
1	174	161
2	645	140
3	2579	140
4	3577	140
5	3577	140
6	5331	140
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
3.1%	71.7%	25.1%	9
4.7%	69.8%	25.5%	10
7%	66.9%	26.1%	11
10.9%	61.5%	27.6%	12
11.1%	47%	41.9%	13
12.8%	44.4%	42.8%	14

Symmetry

(sort y z)

Compiler

Compiled 20 to 20 computations (0% saved)

sample82.0ms (1.1%)

Algorithm

1×

intervals

Results

21.0ms	330×	body	128	nan
18.0ms	256×	body	128	valid

Compiler

Compiled 39 to 43 computations (-10.3% saved)

simplify107.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

2067×	`associate-/l*_binary64`
1151×	`associate-/l/_binary64`
961×	`associate-/r/_binary64`
904×	`*-commutative_binary64`
879×	`associate-l_binary64`
331×	`associate-r_binary64`
215×	`associate-*l/_binary64`
210×	`times-frac_binary64`
158×	`associate-*r/_binary64`
147×	`associate-/r*_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` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64` `+-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	26
1	40	23
2	121	20
3	446	20
4	1750	20
5	3005	20
6	3002	20
7	3002	20
8	3753	20
9	4074	20
10	4215	20
11	4225	20
12	4229	20
13	4230	20
14	5398	20

prune4.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

1.0b

Counts

2 → 2

Compiler

Compiled 45 to 45 computations (0% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 3 (/.f64 x (.f64 y 27)))
1.0b	(.f64 (/.f64 1 3) (acos.f64 (.f64 (/.f64 (.f64 3 (/.f64 x (.f64 y 27))) (*.f64 z 2)) (sqrt.f64 t))))
3.6b	(.f64 (/.f64 (.f64 3 (/.f64 x (.f64 y 27))) (.f64 z 2)) (sqrt.f64 t))
4.0b	(/.f64 (.f64 3 (/.f64 x (.f64 y 27))) (*.f64 z 2))

rewrite217.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

96×	`add-exp-log_binary64`
92×	`add-cbrt-cube_binary64`
41×	`prod-exp_binary64`
39×	`cbrt-unprod_binary64`
31×	`add-sqr-sqrt_binary64`
28×	`div-exp_binary64`
27×	`cbrt-undiv_binary64`
21×	`associate-l_binary64`
19×	`*-un-lft-identity_binary64`
18×	`add-cube-cbrt_binary64`
16×	`times-frac_binary64` `associate-r_binary64`
10×	`pow1_binary64`
6×	`unswap-sqr_binary64`
4×	`add-log-exp_binary64` `div-inv_binary64` `sqrt-prod_binary64`
3×	`pow-prod-down_binary64` `*-commutative_binary64`
2×	`associate-r/_binary64` `associate-l/_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `associate-/l/_binary64` `associate-/l_binary64` `associate-/r_binary64` `1-exp_binary64` `rec-exp_binary64`

Counts

4 → 133

Calls

4 calls:

14.0ms	(.f64 (/.f64 (.f64 3 (/.f64 x (.f64 y 27))) (.f64 z 2)) (sqrt.f64 t))
14.0ms	(/.f64 (.f64 3 (/.f64 x (.f64 y 27))) (*.f64 z 2))
8.0ms	(.f64 (/.f64 1 3) (acos.f64 (.f64 (/.f64 (.f64 3 (/.f64 x (.f64 y 27))) (*.f64 z 2)) (sqrt.f64 t))))
7.0ms	(.f64 3 (/.f64 x (.f64 y 27)))

Compiler

Compiled 3796 to 2780 computations (26.8% saved)

series154.0ms (2.1%)

Error

1.0b

Counts

4 → 39

Calls

4 calls:

58.0ms	(.f64 (/.f64 (.f64 3 (/.f64 x (.f64 y 27))) (.f64 z 2)) (sqrt.f64 t))
38.0ms	(.f64 (/.f64 1 3) (acos.f64 (.f64 (/.f64 (.f64 3 (/.f64 x (.f64 y 27))) (*.f64 z 2)) (sqrt.f64 t))))
33.0ms	(/.f64 (.f64 3 (/.f64 x (.f64 y 27))) (*.f64 z 2))
17.0ms	(.f64 3 (/.f64 x (.f64 y 27)))

Compiler

Compiled 1248 to 1214 computations (2.7% saved)

simplify194.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

430×	`associate--l+_binary64`
309×	`times-frac_binary64`
271×	`sub-neg_binary64`
242×	`associate--l-_binary64`
209×	`associate-l_binary64`
187×	`associate-/l_binary64` `associate-/r_binary64`
176×	`associate-r_binary64`
174×	`associate-*l/_binary64`
153×	`*-commutative_binary64`
137×	`associate-*r/_binary64`
129×	`log-prod_binary64`
118×	`sqr-pow_binary64`
110×	`log-div_binary64`
109×	`associate--r-_binary64`
102×	`cube-div_binary64`
98×	`cube-prod_binary64`
71×	`unpow3_binary64` `cube-mult_binary64` `associate-+l-_binary64`
60×	`associate-+l+_binary64`
57×	`distribute-neg-in_binary64`
53×	`swap-sqr_binary64`
51×	`associate-+r+_binary64`
50×	`+-commutative_binary64`
48×	`exp-prod_binary64`
44×	`associate-+r-_binary64`
43×	`associate-/r/_binary64`
40×	`neg-mul-1_binary64`
39×	`neg-sub0_binary64`
37×	`cancel-sign-sub-inv_binary64`
31×	`associate-/l/_binary64` `associate--r+_binary64`
25×	`unsub-neg_binary64`
22×	`distribute-rgt-in_binary64`
21×	`*-rgt-identity_binary64` `distribute-lft-neg-in_binary64`
19×	`distribute-rgt-neg-in_binary64`
18×	`*-lft-identity_binary64` `distribute-neg-frac_binary64`
16×	`unswap-sqr_binary64`
12×	`cube-unmult_binary64`
9×	`exp-sqrt_binary64` `pow-sqr_binary64`
7×	`prod-exp_binary64` `+-rgt-identity_binary64`
6×	`unpow1/2_binary64`
5×	`sub0-neg_binary64`
4×	`div-sub_binary64` `distribute-lft-in_binary64`
3×	`/-rgt-identity_binary64` `remove-double-neg_binary64` `distribute-neg-out_binary64`
2×	`log-rec_binary64` `pow-plus_binary64` `exp-lft-cube_binary64` `rem-sqrt-square_binary64` `--rgt-identity_binary64`
1×	`unpow1/3_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `count-2_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `pow-base-0_binary64` `unpow2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-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`

Counts

172 → 140

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	239	4346
1	589	3071
2	2625	3068
3	3149	3068
4	4893	3068
5	4985	3068
6	4935	3068

prune85.0ms (1.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	138	2	140
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	140	2	142

Error

0.0b

Counts

142 → 2

Compiler

Compiled 1648 to 1137 computations (31% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 1/9 (/.f64 x y)) (*.f64 z 2)))) (cbrt.f64 3))
0.4b	(*.f64 1/9 (/.f64 x y))
3.6b	(.f64 (sqrt.f64 t) (/.f64 (.f64 1/9 (/.f64 x y)) (*.f64 z 2)))
4.0b	(/.f64 (.f64 1/9 (/.f64 x y)) (.f64 z 2))

rewrite219.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

61×	`add-exp-log_binary64`
60×	`add-cbrt-cube_binary64`
39×	`add-sqr-sqrt_binary64`
30×	`add-cube-cbrt_binary64` `times-frac_binary64` `*-un-lft-identity_binary64`
23×	`prod-exp_binary64` `cbrt-unprod_binary64`
18×	`div-exp_binary64` `cbrt-undiv_binary64` `associate-r_binary64`
12×	`cbrt-prod_binary64`
9×	`associate-l_binary64`
8×	`pow1_binary64`
7×	`associate-/r*_binary64`
4×	`add-log-exp_binary64` `div-inv_binary64` `associate-/l*_binary64` `unswap-sqr_binary64` `sqrt-prod_binary64`
3×	`associate-*r/_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `pow-prod-down_binary64` `*-commutative_binary64`
1×	`associate-/l/_binary64` `acos-asin_binary64` `div-sub_binary64`

Counts

4 → 135

Calls

4 calls:

13.0ms	(.f64 (sqrt.f64 t) (/.f64 (.f64 1/9 (/.f64 x y)) (*.f64 z 2)))
8.0ms	(/.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 1/9 (/.f64 x y)) (*.f64 z 2)))) (cbrt.f64 3))
7.0ms	(*.f64 1/9 (/.f64 x y))
7.0ms	(/.f64 (.f64 1/9 (/.f64 x y)) (.f64 z 2))

Compiler

Compiled 4501 to 3211 computations (28.7% saved)

series188.0ms (2.5%)

Error

Counts

4 → 39

Calls

4 calls:

64.0ms	(.f64 (sqrt.f64 t) (/.f64 (.f64 1/9 (/.f64 x y)) (*.f64 z 2)))
59.0ms	(/.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 1/9 (/.f64 x y)) (*.f64 z 2)))) (cbrt.f64 3))
38.0ms	(/.f64 (.f64 1/9 (/.f64 x y)) (.f64 z 2))
22.0ms	(*.f64 1/9 (/.f64 x y))

Compiler

Compiled 1850 to 1824 computations (1.4% saved)

simplify203.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

778×	`associate-/r/_binary64`
586×	`*-commutative_binary64`
231×	`times-frac_binary64`
179×	`log-prod_binary64`
173×	`sub-neg_binary64` `associate-/l*_binary64`
161×	`cube-prod_binary64`
149×	`associate-*r/_binary64`
145×	`associate-l_binary64`
137×	`associate-/r*_binary64`
120×	`log-div_binary64`
115×	`cube-div_binary64`
111×	`associate-r_binary64`
108×	`associate-*l/_binary64`
103×	`sqr-pow_binary64`
90×	`associate--l-_binary64`
89×	`exp-prod_binary64`
79×	`swap-sqr_binary64`
76×	`unpow3_binary64` `cube-mult_binary64`
60×	`associate-/l/_binary64`
56×	`associate--r-_binary64`
48×	`associate-+l+_binary64`
45×	`associate--l+_binary64`
38×	`+-commutative_binary64`
35×	`associate-+l-_binary64`
30×	`associate-+r+_binary64`
25×	`distribute-neg-in_binary64`
24×	`neg-mul-1_binary64` `neg-sub0_binary64` `associate-+r-_binary64`
20×	`unswap-sqr_binary64` `cancel-sign-sub-inv_binary64`
18×	`*-rgt-identity_binary64` `associate--r+_binary64`
16×	`*-lft-identity_binary64`
13×	`unsub-neg_binary64`
12×	`distribute-rgt-neg-in_binary64`
11×	`cube-unmult_binary64` `distribute-lft-neg-in_binary64`
8×	`exp-sqrt_binary64` `/-rgt-identity_binary64`
7×	`+-rgt-identity_binary64` `pow-sqr_binary64`
5×	`distribute-neg-frac_binary64`
4×	`distribute-rgt-in_binary64`
3×	`div-sub_binary64` `sub0-neg_binary64`
2×	`unpow1/2_binary64` `prod-exp_binary64` `distribute-lft-in_binary64`
1×	`pow-plus_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-cube-cbrt_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `distribute-neg-out_binary64` `count-2_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_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` `div-exp_binary64` `rec-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-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`

Counts

174 → 131

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	240	4246
1	555	3346
2	2131	3346
3	3524	3342
4	4836	3342
5	4982	3342
6	4941	3342

prune91.0ms (1.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	130	1	131
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	131	2	133

Error

Counts

133 → 2

Compiler

Compiled 2364 to 1573 computations (33.5% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (acos.f64 (.f64 1/18 (.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 t)))) (cbrt.f64 3))
0.2b	(.f64 1/18 (.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 t)))
3.6b	(.f64 (/.f64 x (.f64 z y)) (sqrt.f64 t))
4.4b	(/.f64 x (*.f64 z y))

rewrite164.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

34×	`add-exp-log_binary64`
33×	`add-cbrt-cube_binary64`
30×	`add-sqr-sqrt_binary64`
26×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
24×	`times-frac_binary64`
13×	`prod-exp_binary64` `cbrt-unprod_binary64`
12×	`cbrt-prod_binary64`
11×	`pow1_binary64`
10×	`associate-l_binary64`
7×	`div-exp_binary64` `cbrt-undiv_binary64` `associate-/r_binary64` `associate-r*_binary64`
6×	`associate-/l*_binary64`
4×	`add-log-exp_binary64` `pow-prod-down_binary64` `sqrt-prod_binary64`
3×	`div-inv_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `unswap-sqr_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`associate-*r/_binary64` `acos-asin_binary64` `div-sub_binary64`

Counts

4 → 115

Calls

4 calls:

11.0ms	(.f64 1/18 (.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 t)))
10.0ms	(.f64 (/.f64 x (.f64 z y)) (sqrt.f64 t))
4.0ms	(/.f64 x (*.f64 z y))
4.0ms	(/.f64 (acos.f64 (.f64 1/18 (.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 t)))) (cbrt.f64 3))

Compiler

Compiled 3391 to 2052 computations (39.5% saved)

series220.0ms (2.9%)

Error

Counts

4 → 45

Calls

4 calls:

64.0ms	(.f64 1/18 (.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 t)))
60.0ms	(.f64 (/.f64 x (.f64 z y)) (sqrt.f64 t))
59.0ms	(/.f64 (acos.f64 (.f64 1/18 (.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 t)))) (cbrt.f64 3))
34.0ms	(/.f64 x (*.f64 z y))

Compiler

Compiled 2102 to 2067 computations (1.7% saved)

simplify183.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

600×	`associate-/l*_binary64`
507×	`associate-/r*_binary64`
404×	`*-commutative_binary64`
271×	`sub-neg_binary64`
201×	`associate-+l+_binary64`
174×	`div-sub_binary64`
160×	`associate-/l/_binary64`
149×	`associate-+r+_binary64`
128×	`associate-l_binary64`
125×	`associate-r_binary64`
118×	`unsub-neg_binary64`
116×	`associate-/r/_binary64`
111×	`associate-+l-_binary64`
110×	`cube-div_binary64`
109×	`log-div_binary64`
99×	`associate-+r-_binary64`
82×	`associate-*l/_binary64`
80×	`times-frac_binary64`
78×	`sqr-pow_binary64`
75×	`associate-*r/_binary64`
72×	`log-prod_binary64`
71×	`associate--l+_binary64`
70×	`cube-prod_binary64`
62×	`+-commutative_binary64`
49×	`swap-sqr_binary64`
47×	`exp-prod_binary64`
45×	`unpow3_binary64` `cube-mult_binary64`
44×	`neg-mul-1_binary64`
38×	`neg-sub0_binary64`
37×	`associate--r+_binary64`
33×	`pow-sqr_binary64`
32×	`associate--l-_binary64`
31×	`rem-sqrt-square_binary64`
24×	`/-rgt-identity_binary64`
21×	`+-rgt-identity_binary64`
19×	`unswap-sqr_binary64`
18×	`*-rgt-identity_binary64`
15×	`distribute-neg-in_binary64`
13×	`log-rec_binary64` `sub0-neg_binary64`
12×	`distribute-rgt-in_binary64`
10×	`cube-unmult_binary64` `*-lft-identity_binary64`
9×	`--rgt-identity_binary64`
8×	`cancel-sign-sub-inv_binary64`
6×	`associate--r-_binary64`
5×	`unpow1/2_binary64` `distribute-lft-neg-in_binary64`
4×	`remove-double-neg_binary64` `distribute-neg-frac_binary64` `distribute-rgt-neg-in_binary64`
2×	`+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-lft-in_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_binary64` `count-2_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-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`

Counts

160 → 117

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	196	3470
1	407	3155
2	1321	3155
3	3346	3151
4	4501	3151
5	4656	3151
6	4984	3151

prune72.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	117	2	119

Error

Counts

119 → 2

Compiler

Compiled 1945 to 1246 computations (35.9% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 1/18 (.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 t)))
1.0b	(.f64 1/3 (acos.f64 (.f64 1/18 (.f64 (/.f64 x (.f64 z y)) (sqrt.f64 t)))))
3.6b	(.f64 (/.f64 x (.f64 z y)) (sqrt.f64 t))
4.4b	(/.f64 x (*.f64 z y))

rewrite82.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

34×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
19×	`add-sqr-sqrt_binary64`
14×	`prod-exp_binary64` `cbrt-unprod_binary64`
13×	`pow1_binary64` `add-cube-cbrt_binary64` `-un-lft-identity_binary64` `associate-l*_binary64`
10×	`associate-r_binary64`
6×	`div-exp_binary64` `cbrt-undiv_binary64` `times-frac_binary64`
5×	`pow-prod-down_binary64`
4×	`add-log-exp_binary64` `sqrt-prod_binary64`
3×	`associate-/l_binary64` `unswap-sqr_binary64` `-commutative_binary64`
2×	`div-inv_binary64` `associate-*l/_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `associate-/r_binary64` `associate-r/_binary64`

Counts

4 → 93

Calls

4 calls:

9.0ms	(.f64 1/18 (.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 t)))
8.0ms	(.f64 (/.f64 x (.f64 z y)) (sqrt.f64 t))
4.0ms	(/.f64 x (*.f64 z y))
3.0ms	(.f64 1/3 (acos.f64 (.f64 1/18 (.f64 (/.f64 x (.f64 z y)) (sqrt.f64 t)))))

Compiler

Compiled 1770 to 751 computations (57.6% saved)

series177.0ms (2.4%)

Error

Counts

4 → 45

Calls

4 calls:

57.0ms	(.f64 1/18 (.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 t)))
52.0ms	(.f64 (/.f64 x (.f64 z y)) (sqrt.f64 t))
35.0ms	(.f64 1/3 (acos.f64 (.f64 1/18 (.f64 (/.f64 x (.f64 z y)) (sqrt.f64 t)))))
31.0ms	(/.f64 x (*.f64 z y))

Compiler

Compiled 1274 to 1239 computations (2.7% saved)

simplify144.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

568×	`associate-/l*_binary64`
472×	`associate-/r*_binary64`
407×	`*-commutative_binary64`
232×	`sub-neg_binary64`
197×	`associate-+l+_binary64`
186×	`sqr-pow_binary64`
149×	`div-sub_binary64` `associate-+r+_binary64`
143×	`associate-l_binary64`
137×	`associate-r_binary64`
118×	`associate-/l/_binary64`
117×	`unsub-neg_binary64`
108×	`cube-div_binary64`
106×	`log-div_binary64`
102×	`associate-+l-_binary64`
98×	`associate-/r/_binary64`
97×	`associate-+r-_binary64`
79×	`times-frac_binary64`
71×	`log-prod_binary64` `associate-*l/_binary64`
69×	`cube-prod_binary64`
68×	`associate-*r/_binary64`
66×	`associate--l+_binary64`
57×	`+-commutative_binary64`
50×	`unswap-sqr_binary64`
49×	`exp-prod_binary64`
47×	`swap-sqr_binary64`
44×	`unpow3_binary64` `cube-mult_binary64`
42×	`rem-sqrt-square_binary64`
38×	`pow-sqr_binary64`
36×	`neg-mul-1_binary64`
35×	`associate--r+_binary64`
31×	`neg-sub0_binary64`
22×	`associate--l-_binary64`
21×	`+-rgt-identity_binary64`
20×	`/-rgt-identity_binary64`
15×	`distribute-neg-in_binary64`
13×	`log-rec_binary64`
12×	`distribute-rgt-in_binary64`
10×	`cube-unmult_binary64` `*-rgt-identity_binary64` `sub0-neg_binary64`
8×	`*-lft-identity_binary64`
7×	`unpow1/2_binary64`
5×	`--rgt-identity_binary64` `cancel-sign-sub-inv_binary64`
4×	`distribute-lft-neg-in_binary64` `distribute-lft-in_binary64`
3×	`remove-double-neg_binary64` `distribute-neg-frac_binary64` `distribute-rgt-neg-in_binary64` `associate--r-_binary64`
2×	`+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
1×	`unpow1/3_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `count-2_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `pow-base-0_binary64` `unpow2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-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`

Counts

138 → 95

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	156	2370
1	352	2069
2	1214	2068
3	3163	2068
4	4262	2068
5	4720	2068
6	5009	2068

prune25.0ms (0.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	95	2	97

Error

Counts

97 → 2

Compiler

Compiled 760 to 365 computations (52% saved)

regimes1.3s (17.5%)

Accuracy

Total 0.0b remaining (20.1%)

Threshold costs 0.0b (20.1%)

Compiler

Compiled 18984 to 18942 computations (0.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	35
1	25	35
2	24	35

end7.0ms (0.1%)

Remove: (sort y z)
Compiler: Compiled 66 to 66 computations (0% saved)

sample2.1s (28.7%)

Algorithm

1×

intervals

Results

712.0ms	10537×	body	128	nan
578.0ms	8000×	body	128	valid

Compiler

Compiled 97 to 113 computations (-16.5% saved)

Details

analyze1.3s (18%)

sample82.0ms (1.1%)

simplify107.0ms (1.4%)

prune4.0ms (0%)

localize14.0ms (0.2%)

rewrite217.0ms (2.9%)

series154.0ms (2.1%)

simplify194.0ms (2.6%)

prune85.0ms (1.1%)

localize16.0ms (0.2%)

rewrite219.0ms (2.9%)

series188.0ms (2.5%)

simplify203.0ms (2.7%)

prune91.0ms (1.2%)

localize15.0ms (0.2%)

rewrite164.0ms (2.2%)

series220.0ms (2.9%)

simplify183.0ms (2.5%)

prune72.0ms (1%)

localize11.0ms (0.1%)

rewrite82.0ms (1.1%)

series177.0ms (2.4%)

simplify144.0ms (1.9%)

prune25.0ms (0.3%)

regimes1.3s (17.5%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end7.0ms (0.1%)

sample2.1s (28.7%)

Profiling