Details

analyze2.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample24.0ms (0.7%)

Algorithm

1×

intervals

Results

8.0ms	141×	body	128	valid
7.0ms	62×	body	1024	valid
2.0ms	28×	body	512	valid
1.0ms	7×	body	2048	valid
1.0ms	18×	body	256	valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify169.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11

prune2.0ms (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

Merged error: 28.6b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.3b	(cbrt.f64 (+.f64 x 1))
0.6b	(cbrt.f64 x)
2.4b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

rewrite21.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`cbrt-prod_binary64_442`
14×	`*-un-lft-identity_binary64_414`
13×	`add-sqr-sqrt_binary64_435`
5×	`add-cube-cbrt_binary64_446` `add-log-exp_binary64_450`
4×	`difference-of-squares_binary64_383`
3×	`distribute-lft-out--_binary64_368` `pow1_binary64_472` `add-exp-log_binary64_449` `add-cbrt-cube_binary64_447`
2×	`cbrt-div_binary64_443` `distribute-lft-out_binary64_367` `pow1/3_binary64_493`
1×	`flip3--_binary64_418` `flip3-+_binary64_417` `diff-log_binary64_503` `sub-neg_binary64_407` `flip-+_binary64_388` `flip--_binary64_389`

Counts

3 → 43

Calls

3 calls:

10.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
6.0ms	(cbrt.f64 (+.f64 x 1))
1.0ms	(cbrt.f64 x)

series310.0ms (8.9%)

Counts

3 → 9

Calls

3 calls:

165.0ms	(cbrt.f64 x)
101.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
44.0ms	(cbrt.f64 (+.f64 x 1))

simplify89.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4976	720
1	4976	720

prune63.0ms (1.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	47	5	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	5	53

Merged error: 0.3b

Counts

53 → 5

Compiler

Compiled 757 to 510 computations (32.6% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (+.f64 x 1))
0.6b	(cbrt.f64 x)
2.4b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
9.3b	(log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))

rewrite32.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`cbrt-prod_binary64_442` `*-un-lft-identity_binary64_414` `add-sqr-sqrt_binary64_435`
10×	`log-prod_binary64_497`
8×	`difference-of-squares_binary64_383`
7×	`add-cube-cbrt_binary64_446`
6×	`distribute-lft-out--_binary64_368` `add-log-exp_binary64_450`
5×	`pow1_binary64_472` `add-exp-log_binary64_449`
4×	`add-cbrt-cube_binary64_447`
3×	`distribute-lft-out_binary64_367`
2×	`flip3--_binary64_418` `cbrt-div_binary64_443` `log-div_binary64_498` `flip--_binary64_389` `pow1/3_binary64_493`
1×	`log-pow_binary64_500` `flip3-+_binary64_417` `rem-log-exp_binary64_452` `diff-log_binary64_503` `sub-neg_binary64_407` `flip-+_binary64_388`

Counts

4 → 64

Calls

4 calls:

13.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
10.0ms	(log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
3.0ms	(cbrt.f64 (+.f64 x 1))
1.0ms	(cbrt.f64 x)

series513.0ms (14.6%)

Counts

4 → 12

Calls

4 calls:

197.0ms	(log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
170.0ms	(cbrt.f64 x)
104.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
41.0ms	(cbrt.f64 (+.f64 x 1))

simplify107.0ms (3%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4853	1324
1	4853	1324

prune79.0ms (2.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	75	6	81

Merged error: 0.3b

Counts

81 → 6

Compiler

Compiled 1312 to 922 computations (29.7% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (+.f64 x 1))
0.3b	(cbrt.f64 (+.f64 x 1))
0.6b	(cbrt.f64 x)
9.5b	(-.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))

rewrite31.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`cbrt-prod_binary64_442` `*-un-lft-identity_binary64_414`
7×	`add-cube-cbrt_binary64_446` `add-sqr-sqrt_binary64_435`
6×	`add-log-exp_binary64_450`
4×	`pow1_binary64_472` `cbrt-div_binary64_443` `add-exp-log_binary64_449` `add-cbrt-cube_binary64_447`
3×	`pow1/3_binary64_493`
2×	`flip3-+_binary64_417` `flip-+_binary64_388` `distribute-lft-out_binary64_367`
1×	`flip3--_binary64_418` `diff-log_binary64_503` `sub-neg_binary64_407` `flip--_binary64_389`

Counts

4 → 50

Calls

4 calls:

18.0ms	(-.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
4.0ms	(cbrt.f64 (+.f64 x 1))
3.0ms	(cbrt.f64 (+.f64 x 1))
1.0ms	(cbrt.f64 x)

series372.0ms (10.6%)

Counts

4 → 12

Calls

4 calls:

169.0ms	(cbrt.f64 x)
122.0ms	(-.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
42.0ms	(cbrt.f64 (+.f64 x 1))
39.0ms	(cbrt.f64 (+.f64 x 1))

simplify98.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	5002	764

prune80.0ms (2.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	62	6	68

Merged error: 0.3b

Counts

68 → 6

Compiler

Compiled 1462 to 1082 computations (26% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 -1/9 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-cube-cbrt_binary64_446` `*-un-lft-identity_binary64_414` `add-sqr-sqrt_binary64_435`
9×	`times-frac_binary64_420` `cbrt-prod_binary64_442`
6×	`add-exp-log_binary64_449` `add-cbrt-cube_binary64_447`
4×	`pow1_binary64_472` `add-log-exp_binary64_450`
3×	`pow1/3_binary64_493` `associate-/l_binary64_361` `associate-/r_binary64_360`
1×	`clear-num_binary64_413` `div-inv_binary64_411` `cbrt-undiv_binary64_445` `frac-2neg_binary64_425` `div-exp_binary64_462`

Counts

4 → 60

Calls

4 calls:

4.0ms	(/.f64 -1/9 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series485.0ms (13.8%)

Counts

4 → 12

Calls

4 calls:

163.0ms	(cbrt.f64 x)
152.0ms	(cbrt.f64 x)
150.0ms	(cbrt.f64 x)
20.0ms	(/.f64 -1/9 x)

simplify65.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4879	502
1	4879	502

prune66.0ms (1.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	67	5	72
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	68	10	78

Merged error: 0.2b

Counts

78 → 10

Compiler

Compiled 1410 to 648 computations (54% saved)

regimes63.0ms (1.8%)

Compiler: Compiled 408 to 290 computations (28.9% saved)

bsearch1.0ms (0%)

Compiler: Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	60
1	39	60

end0.0ms (0%)

sample788.0ms (22.5%)

Algorithm

1×

intervals

Results

191.0ms	1954×	body	1024	valid
120.0ms	4252×	body	128	valid
75.0ms	1022×	body	512	valid
35.0ms	247×	body	2048	valid
25.0ms	525×	body	256	valid

Compiler

Compiled 241 to 171 computations (29% saved)

Details

analyze2.0ms (0%)

sample24.0ms (0.7%)

simplify169.0ms (4.8%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite21.0ms (0.6%)

series310.0ms (8.9%)

simplify89.0ms (2.5%)

prune63.0ms (1.8%)

localize8.0ms (0.2%)

rewrite32.0ms (0.9%)

series513.0ms (14.6%)

simplify107.0ms (3%)

prune79.0ms (2.3%)

localize10.0ms (0.3%)

rewrite31.0ms (0.9%)

series372.0ms (10.6%)

simplify98.0ms (2.8%)

prune80.0ms (2.3%)

localize9.0ms (0.3%)

rewrite12.0ms (0.3%)

series485.0ms (13.8%)

simplify65.0ms (1.9%)

prune66.0ms (1.9%)

regimes63.0ms (1.8%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample788.0ms (22.5%)

Profiling