Details

analyze3.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 22 to 18 computations (18.2% saved)

sample21.0ms (0.2%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
5.0ms	256×	pre	128	true

Compiler

Compiled 37 to 33 computations (10.8% saved)

simplify232.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (134.0ms)

Iter	Nodes	Cost
0	5255	22

prune6.0ms (0.1%)

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

52.0b

Counts

2 → 1

Compiler

Compiled 15 to 13 computations (13.3% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite8.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`cancel-sign-sub-inv_binary64_385`
3×	`*-un-lft-identity_binary64_419` `unpow-prod-down_binary64_498` `add-log-exp_binary64_458` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
1×	`sub-neg_binary64_412` `sqr-pow_binary64_391` `flip3--_binary64_423` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `diff-log_binary64_511` `flip--_binary64_394` `pow1_binary64_480`

Counts

1 → 18

Calls

2 calls:

6.0ms	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))
0.0ms	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

series200.0ms (1.9%)

Counts

1 → 12

Calls

1 calls:

200.0ms

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

Compiler

Compiled 246 to 216 computations (12.2% saved)

simplify72.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5269	370

prune38.0ms (0.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	19	11	30
Fresh	0	0	0
Picked	0	0	0
Done	0	1	1
Total	19	12	31

Error

52.0b

Counts

31 → 12

Compiler

Compiled 494 to 390 computations (21.1% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite18.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_450`
7×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `cancel-sign-sub-inv_binary64_385`
6×	`unpow-prod-down_binary64_498`
4×	`add-log-exp_binary64_458`
3×	`cube-prod_binary64_447`
2×	`cbrt-div_binary64_451` `sqr-pow_binary64_391` `cube-div_binary64_448` `flip3--_binary64_423` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `flip--_binary64_394` `pow1_binary64_480`
1×	`pow1/3_binary64_501` `sub-neg_binary64_412` `unpow3_binary64_485` `cube-mult_binary64_449` `rem-cbrt-cube_binary64_443` `diff-log_binary64_511`

Counts

2 → 41

Calls

4 calls:

7.0ms	(cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3))
7.0ms	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))
0.0ms	(cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3))
0.0ms	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

series398.0ms (3.7%)

Counts

2 → 24

Calls

2 calls:

205.0ms	(cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3))
193.0ms	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

Compiler

Compiled 546 to 486 computations (11% saved)

simplify52.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5079	1024

localize6.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

23.0b	(+.f64 (*.f64 9 (pow.f64 x 4)) (neg.f64 (pow.f64 y 4)))
23.0b	(+.f64 (*.f64 9 (pow.f64 x 4)) (neg.f64 (pow.f64 y 4)))

rewrite9.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-log-exp_binary64_458`
2×	`sum-log_binary64_510`
1×	`flip3-+_binary64_422` `*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `unsub-neg_binary64_413` `add-sqr-sqrt_binary64_441` `associate-+r-_binary64_353` `flip-+_binary64_393` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480` `neg-log_binary64_512` `+-commutative_binary64_349` `neg-sub0_binary64_414`

Counts

1 → 14

Calls

2 calls:

8.0ms	(+.f64 (*.f64 9 (pow.f64 x 4)) (neg.f64 (pow.f64 y 4)))
0.0ms	(+.f64 (*.f64 9 (pow.f64 x 4)) (neg.f64 (pow.f64 y 4)))

series206.0ms (1.9%)

Counts

1 → 12

Calls

1 calls:

206.0ms

(+.f64 (*.f64 9 (pow.f64 x 4)) (neg.f64 (pow.f64 y 4)))

Compiler

Compiled 246 to 216 computations (12.2% saved)

simplify85.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5029	344

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite8.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`cancel-sign-sub-inv_binary64_385`
3×	`*-un-lft-identity_binary64_419` `unpow-prod-down_binary64_498` `add-log-exp_binary64_458` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
1×	`sub-neg_binary64_412` `sqr-pow_binary64_391` `flip3--_binary64_423` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `diff-log_binary64_511` `flip--_binary64_394` `pow1_binary64_480`

Counts

1 → 18

Calls

2 calls:

6.0ms	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))
0.0ms	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

series202.0ms (1.9%)

Counts

1 → 12

Calls

1 calls:

202.0ms

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

Compiler

Compiled 282 to 252 computations (10.6% saved)

simplify72.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5269	370

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

24.0b	(-.f64 (*.f64 81 (pow.f64 x 8)) (pow.f64 y 8))
1.0b	(*.f64 81 (pow.f64 x 8))
1.0b	(*.f64 81 (pow.f64 x 8))
24.0b	(-.f64 (*.f64 81 (pow.f64 x 8)) (pow.f64 y 8))

rewrite19.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_441`
7×	`-un-lft-identity_binary64_419` `unpow-prod-down_binary64_498` `add-cube-cbrt_binary64_454` `associate-r*_binary64_359` `add-exp-log_binary64_457` `cancel-sign-sub-inv_binary64_385`
4×	`add-log-exp_binary64_458` `add-cbrt-cube_binary64_455`
3×	`unswap-sqr_binary64_387` `prod-exp_binary64_468` `sqr-pow_binary64_391` `associate-l_binary64_360`
2×	`pow1_binary64_480`
1×	`sub-neg_binary64_412` `cbrt-unprod_binary64_452` `pow-exp_binary64_487` `flip3--_binary64_423` `pow-to-exp_binary64_488` `*-commutative_binary64_350` `diff-log_binary64_511` `flip--_binary64_394`

Counts

2 → 43

Calls

4 calls:

8.0ms	(-.f64 (*.f64 81 (pow.f64 x 8)) (pow.f64 y 8))
6.0ms	(*.f64 81 (pow.f64 x 8))
0.0ms	(*.f64 81 (pow.f64 x 8))
0.0ms	(-.f64 (*.f64 81 (pow.f64 x 8)) (pow.f64 y 8))

series130.0ms (1.2%)

Counts

2 → 9

Calls

2 calls:

88.0ms	(-.f64 (*.f64 81 (pow.f64 x 8)) (pow.f64 y 8))
42.0ms	(*.f64 81 (pow.f64 x 8))

Compiler

Compiled 402 to 342 computations (14.9% saved)

simplify59.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5167	556

prune311.0ms (2.9%)

Pruning

51 alts after pruning (45 fresh and 6 done)

	Pruned	Kept	Total
New	132	41	173
Fresh	2	4	6
Picked	0	0	0
Done	0	6	6
Total	134	51	185

Error

52.0b

Counts

185 → 51

Compiler

Compiled 3158 to 2494 computations (21% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite21.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_450`
6×	`add-log-exp_binary64_458`
5×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
3×	`unpow-prod-down_binary64_498` `cube-prod_binary64_447`
2×	`flip3-+_binary64_422` `cbrt-div_binary64_451` `sum-log_binary64_510` `cube-div_binary64_448` `flip-+_binary64_393` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
1×	`pow1/3_binary64_501` `unsub-neg_binary64_413` `unpow3_binary64_485` `cube-mult_binary64_449` `sqr-pow_binary64_391` `rem-cbrt-cube_binary64_443` `associate-+r-_binary64_353` `neg-log_binary64_512` `+-commutative_binary64_349` `neg-sub0_binary64_414`

Counts

2 → 37

Calls

4 calls:

9.0ms	(cbrt.f64 (pow.f64 (+.f64 (*.f64 9 (pow.f64 x 4)) (neg.f64 (pow.f64 y 4))) 3))
9.0ms	(+.f64 (*.f64 9 (pow.f64 x 4)) (neg.f64 (pow.f64 y 4)))
0.0ms	(cbrt.f64 (pow.f64 (+.f64 (*.f64 9 (pow.f64 x 4)) (neg.f64 (pow.f64 y 4))) 3))
0.0ms	(+.f64 (*.f64 9 (pow.f64 x 4)) (neg.f64 (pow.f64 y 4)))

series402.0ms (3.7%)

Counts

2 → 24

Calls

2 calls:

201.0ms	(+.f64 (*.f64 9 (pow.f64 x 4)) (neg.f64 (pow.f64 y 4)))
200.0ms	(cbrt.f64 (pow.f64 (+.f64 (*.f64 9 (pow.f64 x 4)) (neg.f64 (pow.f64 y 4))) 3))

Compiler

Compiled 546 to 486 computations (11% saved)

simplify84.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4858	984
1	4858	984

localize7.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

62.0b	(log.f64 (exp.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))))
23.0b	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))
23.0b	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))
62.0b	(log.f64 (exp.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))))

rewrite18.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`cancel-sign-sub-inv_binary64_385`
11×	`log-prod_binary64_505`
8×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `exp-sum_binary64_465`
6×	`unpow-prod-down_binary64_498`
4×	`add-log-exp_binary64_458` `log-pow_binary64_508`
3×	`exp-prod_binary64_471` `pow1_binary64_480`
2×	`sub-neg_binary64_412` `sqr-pow_binary64_391` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
1×	`exp-diff_binary64_467` `rem-log-exp_binary64_460` `flip3--_binary64_423` `diff-log_binary64_511` `flip--_binary64_394` `log-div_binary64_506`

Counts

2 → 42

Calls

4 calls:

8.0ms	(log.f64 (exp.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))))
6.0ms	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))
0.0ms	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))
0.0ms	(log.f64 (exp.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))))

series232.0ms (2.2%)

Counts

2 → 12

Calls

2 calls:

176.0ms	(log.f64 (exp.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))))
56.0ms	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

Compiler

Compiled 376 to 336 computations (10.6% saved)

simplify85.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4934	757
1	4934	757

localize19.0ms (0.2%)

Local error

Found 6 expressions with local error:

24.0b	(-.f64 (exp.f64 (log.f64 (*.f64 81 (pow.f64 x 8)))) (pow.f64 y 8))
5.2b	(exp.f64 (log.f64 (*.f64 81 (pow.f64 x 8))))
1.0b	(*.f64 81 (pow.f64 x 8))
1.0b	(*.f64 81 (pow.f64 x 8))
5.2b	(exp.f64 (log.f64 (*.f64 81 (pow.f64 x 8))))
24.0b	(-.f64 (exp.f64 (log.f64 (*.f64 81 (pow.f64 x 8)))) (pow.f64 y 8))

rewrite29.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_441`
11×	`*-un-lft-identity_binary64_419`
9×	`add-cube-cbrt_binary64_454`
8×	`unpow-prod-down_binary64_498` `add-exp-log_binary64_457`
7×	`associate-r_binary64_359` `cancel-sign-sub-inv_binary64_385`
5×	`add-log-exp_binary64_458` `add-cbrt-cube_binary64_455`
4×	`sqr-pow_binary64_391` `exp-prod_binary64_471` `pow1_binary64_480`
3×	`difference-of-squares_binary64_388` `unswap-sqr_binary64_387` `prod-exp_binary64_468` `associate-l_binary64_360`
1×	`sub-neg_binary64_412` `log-prod_binary64_505` `cbrt-unprod_binary64_452` `pow-exp_binary64_487` `flip3--_binary64_423` `distribute-lft-out--_binary64_371` `log-pow_binary64_508` `pow-to-exp_binary64_488` `*-commutative_binary64_350` `exp-sum_binary64_465` `diff-log_binary64_511` `flip--_binary64_394` `rem-exp-log_binary64_459`

Counts

3 → 60

Calls

6 calls:

9.0ms	(-.f64 (exp.f64 (log.f64 (*.f64 81 (pow.f64 x 8)))) (pow.f64 y 8))
6.0ms	(*.f64 81 (pow.f64 x 8))
5.0ms	(exp.f64 (log.f64 (*.f64 81 (pow.f64 x 8))))
0.0ms	(-.f64 (exp.f64 (log.f64 (*.f64 81 (pow.f64 x 8)))) (pow.f64 y 8))
0.0ms	(*.f64 81 (pow.f64 x 8))

series330.0ms (3.1%)

Counts

3 → 12

Calls

3 calls:

200.0ms	(-.f64 (exp.f64 (log.f64 (*.f64 81 (pow.f64 x 8)))) (pow.f64 y 8))
88.0ms	(exp.f64 (log.f64 (*.f64 81 (pow.f64 x 8))))
41.0ms	(*.f64 81 (pow.f64 x 8))

Compiler

Compiled 644 to 554 computations (14% saved)

simplify115.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	4876	819
1	4876	819

localize20.0ms (0.2%)

Local error

Found 6 expressions with local error:

24.0b	(-.f64 (.f64 (.f64 81 (pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) 8)) (pow.f64 (cbrt.f64 x) 8)) (pow.f64 y 8))
1.0b	(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) 8)
1.0b	(pow.f64 (cbrt.f64 x) 8)
1.0b	(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) 8)
1.0b	(pow.f64 (cbrt.f64 x) 8)
24.0b	(-.f64 (.f64 (.f64 81 (pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) 8)) (pow.f64 (cbrt.f64 x) 8)) (pow.f64 y 8))

rewrite27.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`pow1_binary64_480`
11×	`pow-pow_binary64_491`
10×	`unpow-prod-down_binary64_498`
9×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
7×	`pow1/3_binary64_501` `add-exp-log_binary64_457` `cancel-sign-sub-inv_binary64_385`
6×	`pow-unpow_binary64_496`
5×	`add-log-exp_binary64_458`
3×	`cbrt-prod_binary64_450` `pow-exp_binary64_487` `sqr-pow_binary64_391` `add-cbrt-cube_binary64_455`
2×	`pow-prod-down_binary64_490` `pow-to-exp_binary64_488` `pow-sqr_binary64_392` `pow-prod-up_binary64_489`
1×	`sub-neg_binary64_412` `prod-exp_binary64_468` `flip3--_binary64_423` `pow-plus_binary64_482` `diff-log_binary64_511` `flip--_binary64_394` `pow2_binary64_500`

Counts

3 → 63

Calls

6 calls:

11.0ms	(-.f64 (.f64 (.f64 81 (pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) 8)) (pow.f64 (cbrt.f64 x) 8)) (pow.f64 y 8))
5.0ms	(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) 8)
3.0ms	(pow.f64 (cbrt.f64 x) 8)
0.0ms	(pow.f64 (cbrt.f64 x) 8)
0.0ms	(-.f64 (.f64 (.f64 81 (pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) 8)) (pow.f64 (cbrt.f64 x) 8)) (pow.f64 y 8))

series453.0ms (4.2%)

Counts

3 → 12

Calls

3 calls:

167.0ms	(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) 8)
148.0ms	(pow.f64 (cbrt.f64 x) 8)
138.0ms	(-.f64 (.f64 (.f64 81 (pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) 8)) (pow.f64 (cbrt.f64 x) 8)) (pow.f64 y 8))

Compiler

Compiled 684 to 576 computations (15.8% saved)

simplify78.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4882	705
1	4882	705

prune659.0ms (6.1%)

Pruning

85 alts after pruning (74 fresh and 11 done)

	Pruned	Kept	Total
New	217	45	262
Fresh	11	29	40
Picked	0	0	0
Done	0	11	11
Total	228	85	313

Error

52.0b

Counts

313 → 85

Compiler

Compiled 6253 to 4796 computations (23.3% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

23.0b	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))
1.0b	(cbrt.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 1) 3))
1.0b	(cbrt.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 1) 3))
23.0b	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

rewrite21.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`cbrt-prod_binary64_450`
16×	`unpow-prod-down_binary64_498`
9×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
7×	`cube-prod_binary64_447` `cancel-sign-sub-inv_binary64_385`
4×	`add-log-exp_binary64_458` `sqr-pow_binary64_391`
2×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
1×	`pow1/3_binary64_501` `sub-neg_binary64_412` `unpow3_binary64_485` `cube-mult_binary64_449` `flip3--_binary64_423` `rem-cbrt-cube_binary64_443` `diff-log_binary64_511` `flip--_binary64_394`

Counts

2 → 47

Calls

4 calls:

9.0ms	(cbrt.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 1) 3))
7.0ms	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))
0.0ms	(cbrt.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 1) 3))
0.0ms	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

series397.0ms (3.7%)

Counts

2 → 24

Calls

2 calls:

203.0ms	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))
194.0ms	(cbrt.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 1) 3))

Compiler

Compiled 582 to 522 computations (10.3% saved)

simplify79.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4839	1143
1	4839	1143

localize8.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

24.0b	(-.f64 (pow.f64 (*.f64 81 (pow.f64 x 8)) 1) (pow.f64 y 8))
1.0b	(*.f64 81 (pow.f64 x 8))
1.0b	(*.f64 81 (pow.f64 x 8))
24.0b	(-.f64 (pow.f64 (*.f64 81 (pow.f64 x 8)) 1) (pow.f64 y 8))

rewrite22.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_441`
9×	`*-un-lft-identity_binary64_419` `unpow-prod-down_binary64_498`
8×	`sqr-pow_binary64_391`
7×	`add-cube-cbrt_binary64_454` `associate-r_binary64_359` `add-exp-log_binary64_457` `cancel-sign-sub-inv_binary64_385`
6×	`difference-of-squares_binary64_388`
4×	`add-log-exp_binary64_458` `add-cbrt-cube_binary64_455`
3×	`unswap-sqr_binary64_387` `prod-exp_binary64_468` `associate-l_binary64_360`
2×	`pow1_binary64_480`
1×	`sub-neg_binary64_412` `cbrt-unprod_binary64_452` `pow-exp_binary64_487` `flip3--_binary64_423` `distribute-lft-out--_binary64_371` `pow-to-exp_binary64_488` `*-commutative_binary64_350` `diff-log_binary64_511` `flip--_binary64_394`

Counts

2 → 50

Calls

4 calls:

8.0ms	(*.f64 81 (pow.f64 x 8))
8.0ms	(-.f64 (pow.f64 (*.f64 81 (pow.f64 x 8)) 1) (pow.f64 y 8))
0.0ms	(*.f64 81 (pow.f64 x 8))
0.0ms	(-.f64 (pow.f64 (*.f64 81 (pow.f64 x 8)) 1) (pow.f64 y 8))

series133.0ms (1.2%)

Counts

2 → 9

Calls

2 calls:

86.0ms	(-.f64 (pow.f64 (*.f64 81 (pow.f64 x 8)) 1) (pow.f64 y 8))
47.0ms	(*.f64 81 (pow.f64 x 8))

Compiler

Compiled 414 to 354 computations (14.5% saved)

simplify45.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5039	762

localize22.0ms (0.2%)

Local error

Found 8 expressions with local error:

24.0b	(-.f64 (exp.f64 (log.f64 (exp.f64 (log.f64 (*.f64 81 (pow.f64 x 8)))))) (pow.f64 y 8))
5.2b	(exp.f64 (log.f64 (*.f64 81 (pow.f64 x 8))))
5.2b	(exp.f64 (log.f64 (exp.f64 (log.f64 (*.f64 81 (pow.f64 x 8))))))
1.0b	(*.f64 81 (pow.f64 x 8))
1.0b	(*.f64 81 (pow.f64 x 8))
5.2b	(exp.f64 (log.f64 (*.f64 81 (pow.f64 x 8))))
5.2b	(exp.f64 (log.f64 (exp.f64 (log.f64 (*.f64 81 (pow.f64 x 8))))))
24.0b	(-.f64 (exp.f64 (log.f64 (exp.f64 (log.f64 (*.f64 81 (pow.f64 x 8)))))) (pow.f64 y 8))

rewrite45.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64_441`
18×	`exp-prod_binary64_471`
16×	`*-un-lft-identity_binary64_419`
13×	`add-cube-cbrt_binary64_454`
10×	`log-pow_binary64_508`
9×	`unpow-prod-down_binary64_498` `log-prod_binary64_505` `add-exp-log_binary64_457` `exp-sum_binary64_465`
8×	`pow1_binary64_480`
7×	`associate-r_binary64_359` `cancel-sign-sub-inv_binary64_385`
6×	`difference-of-squares_binary64_388` `add-log-exp_binary64_458` `add-cbrt-cube_binary64_455`
5×	`sqr-pow_binary64_391`
3×	`unswap-sqr_binary64_387` `prod-exp_binary64_468` `associate-l_binary64_360`
2×	`exp-to-pow_binary64_481` `rem-exp-log_binary64_459`
1×	`sub-neg_binary64_412` `cbrt-unprod_binary64_452` `pow-exp_binary64_487` `flip3--_binary64_423` `distribute-lft-out--_binary64_371` `pow-to-exp_binary64_488` `*-commutative_binary64_350` `diff-log_binary64_511` `flip--_binary64_394`

Counts

4 → 85

Calls

8 calls:

14.0ms	(-.f64 (exp.f64 (log.f64 (exp.f64 (log.f64 (*.f64 81 (pow.f64 x 8)))))) (pow.f64 y 8))
7.0ms	(exp.f64 (log.f64 (exp.f64 (log.f64 (*.f64 81 (pow.f64 x 8))))))
6.0ms	(*.f64 81 (pow.f64 x 8))
5.0ms	(exp.f64 (log.f64 (*.f64 81 (pow.f64 x 8))))
0.0ms	(*.f64 81 (pow.f64 x 8))

series610.0ms (5.7%)

Counts

4 → 15

Calls

4 calls:

294.0ms	(-.f64 (exp.f64 (log.f64 (exp.f64 (log.f64 (*.f64 81 (pow.f64 x 8)))))) (pow.f64 y 8))
183.0ms	(exp.f64 (log.f64 (exp.f64 (log.f64 (*.f64 81 (pow.f64 x 8))))))
94.0ms	(exp.f64 (log.f64 (*.f64 81 (pow.f64 x 8))))
39.0ms	(*.f64 81 (pow.f64 x 8))

Compiler

Compiled 872 to 758 computations (13.1% saved)

simplify99.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4874	1117
1	4874	1117

localize17.0ms (0.2%)

Local error

Found 8 expressions with local error:

23.0b	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))
23.0b	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))
1.0b	(pow.f64 (cbrt.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))) 6)
1.0b	(cbrt.f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 9 (pow.f64 x 4)) (pow.f64 y 4))) 6)) (cbrt.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)))) 3))
1.0b	(pow.f64 (cbrt.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))) 6)
1.0b	(cbrt.f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 9 (pow.f64 x 4)) (pow.f64 y 4))) 6)) (cbrt.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))
23.0b	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

rewrite37.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`cancel-sign-sub-inv_binary64_385`
13×	`unpow-prod-down_binary64_498`
12×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
11×	`cbrt-prod_binary64_450`
8×	`add-log-exp_binary64_458`
5×	`add-exp-log_binary64_457` `pow1_binary64_480`
4×	`cbrt-div_binary64_451` `sqr-pow_binary64_391` `add-cbrt-cube_binary64_455`
3×	`flip3--_binary64_423` `pow-unpow_binary64_496` `flip--_binary64_394`
2×	`pow1/3_binary64_501` `sub-neg_binary64_412` `cube-div_binary64_448` `associate-*r/_binary64_361` `pow-pow_binary64_491` `diff-log_binary64_511`
1×	`unpow3_binary64_485` `cube-mult_binary64_449` `pow-exp_binary64_487` `rem-cbrt-cube_binary64_443` `pow-to-exp_binary64_488` `cube-prod_binary64_447`

Counts

4 → 76

Calls

8 calls:

9.0ms	(pow.f64 (cbrt.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))) 6)
7.0ms	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))
7.0ms	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))
5.0ms	(cbrt.f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 9 (pow.f64 x 4)) (pow.f64 y 4))) 6)) (cbrt.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)))) 3))
0.0ms	(cbrt.f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 9 (pow.f64 x 4)) (pow.f64 y 4))) 6)) (cbrt.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)))) 3))

series1.3s (12.2%)

Counts

4 → 45

Calls

4 calls:

694.0ms	(pow.f64 (cbrt.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))) 6)
208.0ms	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))
207.0ms	(cbrt.f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 9 (pow.f64 x 4)) (pow.f64 y 4))) 6)) (cbrt.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)))) 3))
207.0ms	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

Compiler

Compiled 2071 to 1836 computations (11.3% saved)

simplify85.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5021	1843

prune850.0ms (7.9%)

Pruning

120 alts after pruning (104 fresh and 16 done)

	Pruned	Kept	Total
New	304	47	351
Fresh	12	57	69
Picked	0	0	0
Done	0	16	16
Total	316	120	436

Error

52.0b

Counts

436 → 120

Compiler

Compiled 5103 to 3950 computations (22.6% saved)

simplify130.0ms (1.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	1213	10155
1	1213	10155

regimes1.3s (11.8%)

Compiler: Compiled 17564 to 14992 computations (14.6% saved)

bsearch1.0ms (0%)

Compiler: Compiled 1 to 3 computations (-200% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	3	1
1	3	1

end0.0ms (0%)

sample706.0ms (6.6%)

Algorithm

1×

intervals

Results

337.0ms	8000×	body	128	valid
162.0ms	8000×	pre	128	true

Compiler

Compiled 4410 to 3767 computations (14.6% saved)

Details

analyze3.0ms (0%)

sample21.0ms (0.2%)

simplify232.0ms (2.2%)

prune6.0ms (0.1%)

localize9.0ms (0.1%)

rewrite8.0ms (0.1%)

series200.0ms (1.9%)

simplify72.0ms (0.7%)

prune38.0ms (0.4%)

localize12.0ms (0.1%)

rewrite18.0ms (0.2%)

series398.0ms (3.7%)

simplify52.0ms (0.5%)

localize6.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.1%)

localize10.0ms (0.1%)

rewrite9.0ms (0.1%)

series206.0ms (1.9%)

simplify85.0ms (0.8%)

localize11.0ms (0.1%)

rewrite8.0ms (0.1%)

series202.0ms (1.9%)

simplify72.0ms (0.7%)

localize15.0ms (0.1%)

rewrite19.0ms (0.2%)

series130.0ms (1.2%)

simplify59.0ms (0.5%)

prune311.0ms (2.9%)

localize13.0ms (0.1%)

rewrite21.0ms (0.2%)

series402.0ms (3.7%)

simplify84.0ms (0.8%)

localize7.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.1%)

localize13.0ms (0.1%)

rewrite18.0ms (0.2%)

series232.0ms (2.2%)

simplify85.0ms (0.8%)

localize19.0ms (0.2%)

rewrite29.0ms (0.3%)

series330.0ms (3.1%)

simplify115.0ms (1.1%)

localize20.0ms (0.2%)

rewrite27.0ms (0.3%)

series453.0ms (4.2%)

simplify78.0ms (0.7%)

prune659.0ms (6.1%)

localize13.0ms (0.1%)

rewrite21.0ms (0.2%)

series397.0ms (3.7%)

simplify79.0ms (0.7%)

localize8.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.1%)

localize16.0ms (0.2%)

rewrite22.0ms (0.2%)

series133.0ms (1.2%)

simplify45.0ms (0.4%)

localize22.0ms (0.2%)

rewrite45.0ms (0.4%)

series610.0ms (5.7%)

simplify99.0ms (0.9%)

localize17.0ms (0.2%)

rewrite37.0ms (0.3%)

series1.3s (12.2%)

simplify85.0ms (0.8%)

prune850.0ms (7.9%)

simplify130.0ms (1.2%)

regimes1.3s (11.8%)

bsearch1.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample706.0ms (6.6%)

Profiling