Details

analyze226.0ms (12.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 24 to 18 computations (25% saved)

sample25.0ms (1.4%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
5.0ms	256×	pre	128	true

Compiler

Compiled 43 to 33 computations (23.3% saved)

simplify199.0ms (11.3%)

Algorithm

1×	egg-herbie

Rules

793×	`distribute-rgt-neg-in_binary64`
655×	`distribute-lft-neg-in_binary64`
625×	`unswap-sqr_binary64`
476×	`cube-prod_binary64`
441×	`cancel-sign-sub-inv_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	27	22
2	67	22
3	131	22
4	340	22
5	1006	22
6	1757	22
7	3315	22
8	3167	22
9	3503	22
10	3748	22
11	3281	22
12	4588	22
13	4554	22
14	4833	22
15	4872	22
16	4698	22

prune6.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

52.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	52.0b	(+.f64 (-.f64 (.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) (.f64 2 (*.f64 y y)))

Compiler

Compiled 51 to 39 computations (23.5% saved)

localize9.0ms (0.5%)

Local error

Found 1 expressions with local error:

23.0b

(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

rewrite24.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

52.0b

Rules

7×	`cancel-sign-sub-inv_binary64`
3×	`add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64` `unpow-prod-down_binary64`
1×	`diff-log_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `sqr-pow_binary64`

Counts

1 → 18

Calls

1 calls:

6.0ms

(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

Compiler

Compiled 447 to 328 computations (26.6% saved)

series43.0ms (2.4%)

Error

52.0b

Counts

1 → 12

Calls

1 calls:

41.0ms

(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

Compiler

Compiled 321 to 243 computations (24.3% saved)

simplify76.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

519×	`*-commutative_binary64`
441×	`unsub-neg_binary64`
369×	`times-frac_binary64`
319×	`distribute-rgt-in_binary64`
309×	`exp-prod_binary64`

Counts

30 → 14

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	58	415
1	147	376
2	371	376
3	1310	376
4	2979	370
5	4399	370
6	4909	370

prune7.0ms (0.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	14	1	15

Error

52.0b

Counts

15 → 1

Alt Table

Status	Error	Program
▶	52.0b	(+.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3)) (.f64 2 (*.f64 y y)))

Compiler

Compiled 163 to 121 computations (25.8% saved)

localize14.0ms (0.8%)

Local error

Found 2 expressions with local error:

1.0b	(cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3))
23.0b	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

rewrite62.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

52.0b

Rules

12×	`cbrt-prod_binary64`
7×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64` `cancel-sign-sub-inv_binary64`
6×	`unpow-prod-down_binary64`
4×	`add-log-exp_binary64`
3×	`cube-prod_binary64`

Counts

2 → 41

Calls

2 calls:

7.0ms	(cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3))
6.0ms	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

Compiler

Compiled 1145 to 884 computations (22.8% saved)

series89.0ms (5%)

Error

52.0b

Counts

2 → 24

Calls

2 calls:

44.0ms	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))
41.0ms	(cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3))

Compiler

Compiled 703 to 546 computations (22.3% saved)

simplify97.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

597×	`associate-l_binary64`
569×	`associate-r_binary64`
483×	`unswap-sqr_binary64`
208×	`swap-sqr_binary64`
193×	`distribute-lft-in_binary64`

Counts

65 → 37

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	91	1096
1	207	1002
2	593	1002
3	2853	1002
4	4900	988
5	4980	988

prune17.0ms (1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	37	0	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	1	38

Error

52.0b

Counts

38 → 1

Alt Table

Status	Error	Program
	52.0b	(+.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3)) (.f64 2 (*.f64 y y)))

Compiler

Compiled 425 to 319 computations (24.9% saved)

regimes34.0ms (1.9%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Compiler

Compiled 445 to 349 computations (21.6% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
3×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-mul-1_binary64` `neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	54
1	22	54
2	27	54
3	29	54
4	30	54
5	30	54

end1.0ms (0.1%)

Compiler: Compiled 38 to 30 computations (21.1% saved)

sample835.0ms (47.2%)

Algorithm

1×

intervals

Results

328.0ms	8000×	body	128	valid
158.0ms	8000×	pre	128	true

Compiler

Compiled 84 to 66 computations (21.4% saved)

Details

analyze226.0ms (12.8%)

sample25.0ms (1.4%)

simplify199.0ms (11.3%)

prune6.0ms (0.3%)

localize9.0ms (0.5%)

rewrite24.0ms (1.3%)

series43.0ms (2.4%)

simplify76.0ms (4.3%)

prune7.0ms (0.4%)

localize14.0ms (0.8%)

rewrite62.0ms (3.5%)

series89.0ms (5%)

simplify97.0ms (5.5%)

prune17.0ms (1%)

regimes34.0ms (1.9%)

simplify4.0ms (0.2%)

end1.0ms (0.1%)

sample835.0ms (47.2%)

Profiling