Details

analyze340.0ms (14.7%)

Algorithm

1×	search
2×	egg-herbie

Rules

108×	`distribute-rgt-neg-in_binary64`
90×	`cancel-sign-sub-inv_binary64`
78×	`distribute-rgt-in_binary64`
60×	`distribute-lft-in_binary64`
58×	`sub-neg_binary64`
51×	`unsub-neg_binary64` `distribute-lft-neg-in_binary64`
39×	`distribute-neg-in_binary64`
38×	`associate-r_binary64`
36×	`distribute-lft-neg-out_binary64`
30×	`neg-mul-1_binary64`
27×	`associate--r+_binary64`
24×	`neg-sub0_binary64`
18×	`associate-+l-_binary64`
16×	`*-commutative_binary64`
12×	`*-lft-identity_binary64` `remove-double-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `+-commutative_binary64`
10×	`associate-l_binary64`
9×	`sub0-neg_binary64` `associate-+l+_binary64`
6×	`+-lft-identity_binary64` `distribute-rgt-neg-out_binary64`
3×	`--rgt-identity_binary64` `+-rgt-identity_binary64` `distribute-rgt-out--_binary64` `associate--r-_binary64` `associate--l+_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
1×	`1-exp_binary64` `swap-x-y`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `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	16	40
1	30	40
2	59	40
3	73	40
4	133	40
5	212	40
6	408	40
7	543	40
8	473	40
9	476	40
10	476	40
11	423	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
12.5%	87.4%	0.1%	6
18.7%	81.1%	0.1%	7
37.4%	62.4%	0.1%	8
46.8%	46.8%	6.4%	9
54.6%	39%	6.4%	10
62.8%	30.8%	6.4%	11
66.9%	23.6%	9.5%	12
71.7%	18.8%	9.5%	13
75.3%	15.2%	9.5%	14

Symmetry

(sort x y)

Compiler

Compiled 8 to 8 computations (0% saved)

sample22.0ms (0.9%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 15 to 18 computations (-20% saved)

simplify19.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

44×	`distribute-rgt-neg-in_binary64`
36×	`cancel-sign-sub-inv_binary64`
27×	`unsub-neg_binary64`
23×	`distribute-lft-neg-in_binary64`
21×	`distribute-neg-in_binary64`
20×	`sub-neg_binary64` `distribute-rgt-in_binary64`
19×	`neg-mul-1_binary64`
18×	`associate--r+_binary64`
16×	`neg-sub0_binary64`
15×	`distribute-lft-neg-out_binary64` `distribute-lft-in_binary64`
14×	`associate-r_binary64`
13×	`*-commutative_binary64`
9×	`*-lft-identity_binary64` `+-commutative_binary64`
8×	`mul0-rgt_binary64` `mul0-lft_binary64`
6×	`remove-double-neg_binary64` `associate--r-_binary64`
4×	`sub0-neg_binary64` `associate-+l-_binary64`
3×	`+-lft-identity_binary64` `distribute-rgt-neg-out_binary64` `associate-l_binary64` `associate-+l+_binary64`
2×	`*-rgt-identity_binary64`
1×	`1-exp_binary64` `--rgt-identity_binary64` `+-rgt-identity_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` `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-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	8	10
1	14	10
2	25	10
3	31	10
4	56	10
5	93	10
6	150	10
7	248	10
8	253	10
9	260	10
10	254	10
11	209	10

prune2.0ms (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

0.1b

Counts

1 → 1

Compiler

Compiled 7 to 7 computations (0% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b	(.f64 (.f64 x 3) y)

rewrite27.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-r_binary64`
2×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
1×	`add-log-exp_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

1 → 18

Calls

1 calls:

6.0ms

(*.f64 (*.f64 x 3) y)

Compiler

Compiled 202 to 130 computations (35.6% saved)

series16.0ms (0.7%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

14.0ms

(*.f64 (*.f64 x 3) y)

Compiler

Compiled 91 to 91 computations (0% saved)

simplify70.0ms (3%)

Algorithm

1×	egg-herbie

Rules

560×	`unswap-sqr_binary64`
525×	`associate-l_binary64`
380×	`associate-r_binary64`
364×	`associate-/l/_binary64`
345×	`*-commutative_binary64`
257×	`sqr-pow_binary64`
224×	`associate-/l*_binary64`
212×	`associate-/r/_binary64`
170×	`log-div_binary64` `cube-div_binary64`
162×	`cube-prod_binary64`
145×	`distribute-rgt-in_binary64`
144×	`log-prod_binary64`
131×	`distribute-lft-in_binary64`
129×	`associate-+l+_binary64`
117×	`pow-sqr_binary64`
109×	`rem-sqrt-square_binary64`
67×	`associate-/r*_binary64`
65×	`associate-+r+_binary64`
62×	`exp-prod_binary64`
61×	`+-commutative_binary64`
42×	`unpow3_binary64`
41×	`associate-*r/_binary64`
38×	`times-frac_binary64`
35×	`log-rec_binary64`
34×	`unsub-neg_binary64`
26×	`cube-mult_binary64`
22×	`cube-unmult_binary64` `*-lft-identity_binary64` `swap-sqr_binary64` `distribute-rgt-out_binary64`
21×	`*-rgt-identity_binary64`
17×	`sub-neg_binary64`
13×	`distribute-lft-out_binary64`
12×	`exp-sum_binary64`
10×	`prod-exp_binary64` `remove-double-div_binary64` `distribute-rgt1-in_binary64`
8×	`exp-sqrt_binary64`
6×	`unpow1/2_binary64` `pow-plus_binary64`
5×	`exp-lft-cube_binary64` `distribute-lft1-in_binary64`
3×	`neg-mul-1_binary64` `neg-sub0_binary64` `/-rgt-identity_binary64`
2×	`exp-lft-sqr_binary64` `count-2_binary64`
1×	`1-exp_binary64` `exp-1-e_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` `unpow2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-cbrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `mul-1-neg_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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_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-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

24 → 14

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	236
1	97	200
2	368	200
3	1000	200
4	1242	200
5	1599	200
6	1930	200
7	3676	200
8	5268	200

prune10.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	11	3	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	4	15

Error

0.0b

Counts

15 → 4

Compiler

Compiled 152 to 99 computations (34.9% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.2b	(.f64 3 (.f64 x y))

rewrite25.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64`
2×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
1×	`add-log-exp_binary64` `associate-r_binary64` `*-commutative_binary64`

Counts

1 → 18

Calls

1 calls:

5.0ms

(*.f64 3 (*.f64 x y))

Compiler

Compiled 223 to 145 computations (35% saved)

series17.0ms (0.8%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

16.0ms

(*.f64 3 (*.f64 x y))

Compiler

Compiled 117 to 117 computations (0% saved)

simplify79.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

590×	`distribute-rgt-in_binary64`
557×	`distribute-lft-in_binary64`
459×	`associate-/r/_binary64`
436×	`associate-/l*_binary64`
350×	`*-commutative_binary64`
334×	`associate-l_binary64`
301×	`log-prod_binary64`
255×	`log-div_binary64`
221×	`associate-r_binary64`
205×	`associate-/l/_binary64`
200×	`unswap-sqr_binary64`
155×	`sqr-pow_binary64`
146×	`times-frac_binary64`
75×	`pow-sqr_binary64`
68×	`associate-*r/_binary64`
44×	`cube-div_binary64`
43×	`exp-prod_binary64`
41×	`cube-prod_binary64` `distribute-rgt-out_binary64`
37×	`swap-sqr_binary64`
30×	`associate-*l/_binary64`
25×	`log-rec_binary64`
20×	`associate-/r*_binary64`
13×	`*-lft-identity_binary64`
11×	`unpow3_binary64`
10×	`cube-unmult_binary64`
9×	`prod-exp_binary64`
8×	`exp-sqrt_binary64`
7×	`*-rgt-identity_binary64`
6×	`distribute-lft-out_binary64` `+-commutative_binary64`
5×	`exp-lft-sqr_binary64` `cube-mult_binary64` `/-rgt-identity_binary64`
3×	`exp-lft-cube_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
1×	`unpow1_binary64` `1-exp_binary64` `remove-double-div_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` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-cbrt_binary64` `div-exp_binary64` `rec-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-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` `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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_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-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

24 → 7

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	234
1	82	198
2	252	198
3	645	198
4	826	198
5	982	198
6	1251	198
7	1791	198
8	4664	198
9	5204	198

prune9.0ms (0.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	6	1	7
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	7	4	11

Error

0.0b

Counts

11 → 4

Compiler

Compiled 90 to 72 computations (20% saved)

localize9.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.2b	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (.f64 x y) (cbrt.f64 3)))
0.3b	(.f64 (.f64 x y) (cbrt.f64 3))

rewrite76.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`pow1_binary64` `add-exp-log_binary64`
18×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
16×	`add-cbrt-cube_binary64`
7×	`associate-r_binary64`
4×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
3×	`cbrt-prod_binary64`
2×	`add-log-exp_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

2 → 49

Calls

2 calls:

12.0ms	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (.f64 x y) (cbrt.f64 3)))
6.0ms	(.f64 (.f64 x y) (cbrt.f64 3))

Compiler

Compiled 958 to 711 computations (25.8% saved)

series66.0ms (2.8%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

35.0ms	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (.f64 x y) (cbrt.f64 3)))
28.0ms	(.f64 (.f64 x y) (cbrt.f64 3))

Compiler

Compiled 364 to 361 computations (0.8% saved)

simplify112.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

397×	`unswap-sqr_binary64`
361×	`*-commutative_binary64`
360×	`associate-/l*_binary64`
344×	`sqr-pow_binary64`
295×	`associate-+l+_binary64`
280×	`associate-/l/_binary64`
249×	`associate-/r/_binary64`
235×	`associate-*l/_binary64`
217×	`log-div_binary64`
179×	`associate-l_binary64`
156×	`log-prod_binary64` `pow-sqr_binary64`
151×	`associate-r_binary64`
150×	`exp-prod_binary64`
127×	`associate-+r+_binary64`
97×	`times-frac_binary64`
94×	`cube-prod_binary64`
78×	`swap-sqr_binary64`
72×	`associate-/r*_binary64`
64×	`associate-*r/_binary64`
48×	`unpow3_binary64`
45×	`cube-mult_binary64`
34×	`rem-sqrt-square_binary64`
26×	`log-rec_binary64`
23×	`exp-sqrt_binary64`
19×	`+-commutative_binary64`
13×	`*-rgt-identity_binary64`
12×	`distribute-rgt-in_binary64`
11×	`*-lft-identity_binary64`
10×	`exp-lft-sqr_binary64` `prod-exp_binary64`
9×	`distribute-rgt-out_binary64` `distribute-lft-out_binary64`
8×	`unpow1/2_binary64` `cube-div_binary64` `/-rgt-identity_binary64` `distribute-lft-in_binary64`
7×	`cube-unmult_binary64`
6×	`pow-plus_binary64`
5×	`distribute-rgt1-in_binary64`
3×	`exp-lft-cube_binary64` `distribute-lft1-in_binary64`
2×	`count-2_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-cube-cbrt_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` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_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` `rem-square-sqrt_binary64` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_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-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

61 → 43

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	78	1071
1	181	579
2	657	579
3	1042	579
4	1479	579
5	2340	579
6	4385	579
7	4985	579
8	4931	579

prune19.0ms (0.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	43	4	47

Error

Counts

47 → 4

Compiler

Compiled 282 to 224 computations (20.6% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.2b	(.f64 x (.f64 y 3))

rewrite21.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64`
2×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
1×	`add-log-exp_binary64` `associate-r_binary64` `*-commutative_binary64`

Counts

1 → 18

Calls

1 calls:

5.0ms

(*.f64 x (*.f64 y 3))

Compiler

Compiled 223 to 154 computations (30.9% saved)

series20.0ms (0.8%)

Error

Counts

1 → 6

Calls

1 calls:

18.0ms

(*.f64 x (*.f64 y 3))

Compiler

Compiled 117 to 117 computations (0% saved)

simplify74.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

535×	`associate-/r/_binary64`
448×	`associate-l_binary64`
402×	`associate-/l*_binary64`
381×	`*-commutative_binary64`
309×	`associate-r_binary64`
301×	`times-frac_binary64`
205×	`associate-/l/_binary64`
165×	`associate-*r/_binary64`
159×	`associate-*l/_binary64`
147×	`log-div_binary64`
129×	`sqr-pow_binary64`
128×	`log-prod_binary64`
117×	`unswap-sqr_binary64`
91×	`distribute-rgt-in_binary64`
58×	`pow-sqr_binary64`
57×	`distribute-lft-in_binary64`
45×	`cube-div_binary64`
33×	`exp-prod_binary64` `cube-prod_binary64`
23×	`swap-sqr_binary64`
14×	`unpow3_binary64`
10×	`prod-exp_binary64`
9×	`cube-unmult_binary64` `cube-mult_binary64`
8×	`associate-/r*_binary64`
6×	`log-rec_binary64` `exp-sqrt_binary64`
5×	`/-rgt-identity_binary64` `+-commutative_binary64`
4×	`sub-neg_binary64` `distribute-lft-out_binary64`
3×	`exp-lft-cube_binary64` `exp-lft-sqr_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64`
2×	`*-lft-identity_binary64` `distribute-rgt-out_binary64` `associate-+l+_binary64` `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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-cbrt_binary64` `div-exp_binary64` `rec-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-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` `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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_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-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

24 → 14

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	234
1	87	198
2	298	198
3	832	198
4	1023	198
5	1172	198
6	2103	198
7	4828	198
8	4959	198

prune9.0ms (0.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	14	4	18

Error

Counts

18 → 4

Compiler

Compiled 126 to 81 computations (35.7% saved)

regimes221.0ms (9.5%)

Accuracy

Total 0.1b remaining (93.5%)

Threshold costs 0.1b (93.5%)

Compiler

Compiled 1769 to 1708 computations (3.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`sub-neg_binary64` `+-commutative_binary64`
1×	`unpow1_binary64` `1-exp_binary64` `neg-mul-1_binary64` `neg-sub0_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` `e-exp-1_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-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	10	10
1	16	10
2	20	10
3	22	10
4	23	10
5	22	10

end6.0ms (0.3%)

Compiler: Compiled 21 to 21 computations (0% saved)

sample1.0s (44.3%)

Algorithm

1×

intervals

Results

409.0ms	8000×	body	128	valid
7.0ms	303×	body	128	invalid

Compiler

Compiled 66 to 78 computations (-18.2% saved)

Iter	Nodes	Cost
0	16	40
1	30	40
2	59	40
3	73	40
4	133	40
5	212	40
6	408	40
7	543	40
8	473	40
9	476	40
10	476	40
11	423	40
0	3	3
1	3	3

Iter	Nodes	Cost
0	8	10
1	14	10
2	25	10
3	31	10
4	56	10
5	93	10
6	150	10
7	248	10
8	253	10
9	260	10
10	254	10
11	209	10

Iter	Nodes	Cost
0	16	40
1	30	40
2	59	40
3	73	40
4	133	40
5	212	40
6	408	40
7	543	40
8	473	40
9	476	40
10	476	40
11	423	40
0	3	3
1	3	3

Iter	Nodes	Cost
0	8	10
1	14	10
2	25	10
3	31	10
4	56	10
5	93	10
6	150	10
7	248	10
8	253	10
9	260	10
10	254	10
11	209	10

Details

analyze340.0ms (14.7%)

sample22.0ms (0.9%)

simplify19.0ms (0.8%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite27.0ms (1.2%)

series16.0ms (0.7%)

simplify70.0ms (3%)

prune10.0ms (0.4%)

localize6.0ms (0.3%)

rewrite25.0ms (1.1%)

series17.0ms (0.8%)

simplify79.0ms (3.4%)

prune9.0ms (0.4%)

localize9.0ms (0.4%)

rewrite76.0ms (3.3%)

series66.0ms (2.8%)

simplify112.0ms (4.8%)

prune19.0ms (0.8%)

localize7.0ms (0.3%)

rewrite21.0ms (0.9%)

series20.0ms (0.8%)

simplify74.0ms (3.2%)

prune9.0ms (0.4%)

regimes221.0ms (9.5%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end6.0ms (0.3%)

sample1.0s (44.3%)

Profiling

Iter	Nodes	Cost
0	16	40
1	30	40
2	59	40
3	73	40
4	133	40
5	212	40
6	408	40
7	543	40
8	473	40
9	476	40
10	476	40
11	423	40
0	3	3
1	3	3

Iter	Nodes	Cost
0	8	10
1	14	10
2	25	10
3	31	10
4	56	10
5	93	10
6	150	10
7	248	10
8	253	10
9	260	10
10	254	10
11	209	10