Details

analyze65.0ms (2.9%)

Algorithm

1×

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
12.5%	87.4%	0.1%	4
31.2%	68.7%	0.1%	5
43.7%	56.2%	0.1%	6
56.2%	40.6%	3.2%	7
64%	29.7%	6.3%	8
71%	20.3%	8.7%	9
75.3%	15.2%	9.5%	10
79%	10.1%	10.8%	11
81.3%	7.7%	11%	12
83.2%	5%	11.8%	13
84.4%	3.8%	11.8%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample13.0ms (0.6%)

Algorithm

1×

intervals

Results

6.0ms	255×	body	128	valid
0.0ms	1×	body	512	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify180.0ms (8.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	238	10
1	238	10

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: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (*.f64 (+.f64 x 1) y) x)
0.0b	(*.f64 (+.f64 x 1) y)

rewrite16.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64_6959` `add-sqr-sqrt_binary64_6981`
5×	`add-cube-cbrt_binary64_6994`
4×	`add-exp-log_binary64_6997` `pow1_binary64_7020` `associate-l_binary64_6900` `add-log-exp_binary64_6998` `add-cbrt-cube_binary64_6995`
3×	`cancel-sign-sub-inv_binary64_6925` `associate-r_binary64_6899`
2×	`associate-*l/_binary64_6902`
1×	`flip3--_binary64_6963` `pow-prod-down_binary64_7030` `*-commutative_binary64_6890` `flip--_binary64_6934` `unswap-sqr_binary64_6927` `flip3-+_binary64_6962` `distribute-lft-out_binary64_6910` `flip-+_binary64_6933` `cbrt-unprod_binary64_6992` `diff-log_binary64_7051` `sub-neg_binary64_6952` `prod-exp_binary64_7008`

Counts

2 → 35

Calls

2 calls:

7.0ms	(*.f64 (+.f64 x 1) y)
7.0ms	(-.f64 (*.f64 (+.f64 x 1) y) x)

series66.0ms (3%)

Counts

2 → 6

Calls

2 calls:

37.0ms	(*.f64 (+.f64 x 1) y)
29.0ms	(-.f64 (*.f64 (+.f64 x 1) y) x)

simplify61.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5001	449

prune48.0ms (2.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	4	42

Merged error: 0b

Counts

42 → 4

Compiler

Compiled 721 to 502 computations (30.4% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))
0.2b	(cbrt.f64 (+.f64 x 1))
0.2b	(cbrt.f64 (+.f64 x 1))
0.2b	(cbrt.f64 (+.f64 x 1))

rewrite35.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64_6990`
35×	`*-un-lft-identity_binary64_6959`
23×	`add-sqr-sqrt_binary64_6981`
18×	`cbrt-div_binary64_6991`
15×	`add-cube-cbrt_binary64_6994`
11×	`pow1_binary64_7020`
9×	`swap-sqr_binary64_6926` `flip3-+_binary64_6962` `distribute-lft-out_binary64_6910` `flip-+_binary64_6933` `pow1/3_binary64_7041`
7×	`associate-r_binary64_6899` `associate-l_binary64_6900`
6×	`add-exp-log_binary64_6997`
4×	`frac-times_binary64_6969` `unswap-sqr_binary64_6927` `add-log-exp_binary64_6998` `add-cbrt-cube_binary64_6995`
2×	`associate-r/_binary64_6901` `pow-prod-down_binary64_7030` `pow-sqr_binary64_6932` `associate-l/_binary64_6902` `pow-prod-up_binary64_7029`
1×	`*-commutative_binary64_6890` `pow-plus_binary64_7022` `cbrt-unprod_binary64_6992` `prod-exp_binary64_7008` `pow2_binary64_7040`

Counts

4 → 95

Calls

4 calls:

15.0ms	(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))
3.0ms	(cbrt.f64 (+.f64 x 1))
3.0ms	(cbrt.f64 (+.f64 x 1))
3.0ms	(cbrt.f64 (+.f64 x 1))

series177.0ms (8%)

Counts

4 → 12

Calls

4 calls:

45.0ms	(cbrt.f64 (+.f64 x 1))
45.0ms	(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))
44.0ms	(cbrt.f64 (+.f64 x 1))
42.0ms	(cbrt.f64 (+.f64 x 1))

simplify75.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5725	1496

prune137.0ms (6.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	107	4	111

Merged error: 0b

Counts

111 → 4

Compiler

Compiled 2562 to 1915 computations (25.3% saved)

localize9.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 (.f64 y (-.f64 (.f64 x x) 1)) (-.f64 x 1)) x)
4.9b	(.f64 y (-.f64 (.f64 x x) 1))
8.2b	(/.f64 (.f64 y (-.f64 (.f64 x x) 1)) (-.f64 x 1))

rewrite48.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_6981`
19×	`*-un-lft-identity_binary64_6959`
10×	`add-exp-log_binary64_6997` `add-cube-cbrt_binary64_6994` `add-cbrt-cube_binary64_6995`
9×	`cancel-sign-sub-inv_binary64_6925`
7×	`difference-of-squares_binary64_6928` `associate-/r*_binary64_6903` `times-frac_binary64_6965`
6×	`associate-r_binary64_6899`
5×	`pow1_binary64_7020` `add-log-exp_binary64_6998`
4×	`associate-*r/_binary64_6901` `flip3--_binary64_6963` `distribute-rgt-in_binary64_6909` `flip--_binary64_6934` `distribute-lft-in_binary64_6908`
3×	`sub-neg_binary64_6952` `difference-of-sqr-1_binary64_6929` `associate-l_binary64_6900` `distribute-lft-out--_binary64_6911`
2×	`associate-/l/_binary64_6906` `cbrt-unprod_binary64_6992` `associate-/r/_binary64_6905` `div-exp_binary64_7010` `prod-exp_binary64_7008` `cbrt-undiv_binary64_6993`
1×	`pow-prod-down_binary64_7030` `frac-2neg_binary64_6970` `-commutative_binary64_6890` `div-inv_binary64_6956` `unswap-sqr_binary64_6927` `associate-/l_binary64_6904` `diff-log_binary64_7051` `clear-num_binary64_6958`

Counts

3 → 80

Calls

3 calls:

19.0ms	(-.f64 (/.f64 (.f64 y (-.f64 (.f64 x x) 1)) (-.f64 x 1)) x)
13.0ms	(/.f64 (.f64 y (-.f64 (.f64 x x) 1)) (-.f64 x 1))
9.0ms	(.f64 y (-.f64 (.f64 x x) 1))

series306.0ms (13.8%)

Counts

3 → 9

Calls

3 calls:

132.0ms	(/.f64 (.f64 y (-.f64 (.f64 x x) 1)) (-.f64 x 1))
90.0ms	(-.f64 (/.f64 (.f64 y (-.f64 (.f64 x x) 1)) (-.f64 x 1)) x)
83.0ms	(.f64 y (-.f64 (.f64 x x) 1))

simplify58.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4939	1217
1	4939	1217

prune86.0ms (3.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	89	4	93

Merged error: 0b

Counts

93 → 4

Compiler

Compiled 1613 to 1004 computations (37.8% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 (+.f64 x 1) y) x)
0.0b	(*.f64 (+.f64 x 1) y)
0.0b	(pow.f64 (-.f64 (*.f64 (+.f64 x 1) y) x) 3)
35.4b	(cbrt.f64 (pow.f64 (-.f64 (*.f64 (+.f64 x 1) y) x) 3))

rewrite37.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64_6959` `add-sqr-sqrt_binary64_6981`
13×	`add-cube-cbrt_binary64_6994`
12×	`cbrt-prod_binary64_6990`
7×	`add-exp-log_binary64_6997` `pow1_binary64_7020` `add-cbrt-cube_binary64_6995`
6×	`add-log-exp_binary64_6998` `unpow-prod-down_binary64_7038` `cube-prod_binary64_6987`
4×	`cube-div_binary64_6988` `associate-l_binary64_6900`
3×	`flip3--_binary64_6963` `pow-unpow_binary64_7036` `flip--_binary64_6934` `cancel-sign-sub-inv_binary64_6925` `associate-r_binary64_6899`
2×	`sqr-pow_binary64_6931` `cube-mult_binary64_6989` `associate-*l/_binary64_6902` `unpow3_binary64_7025` `cbrt-div_binary64_6991`
1×	`rem-cbrt-cube_binary64_6983` `pow-to-exp_binary64_7028` `pow-prod-down_binary64_7030` `*-commutative_binary64_6890` `unswap-sqr_binary64_6927` `pow-pow_binary64_7031` `flip3-+_binary64_6962` `distribute-lft-out_binary64_6910` `flip-+_binary64_6933` `cbrt-unprod_binary64_6992` `diff-log_binary64_7051` `pow1/3_binary64_7041` `sub-neg_binary64_6952` `rem-cube-cbrt_binary64_6982` `pow-exp_binary64_7027` `prod-exp_binary64_7008`

Counts

4 → 83

Calls

4 calls:

9.0ms	(cbrt.f64 (pow.f64 (-.f64 (*.f64 (+.f64 x 1) y) x) 3))
8.0ms	(pow.f64 (-.f64 (*.f64 (+.f64 x 1) y) x) 3)
7.0ms	(-.f64 (*.f64 (+.f64 x 1) y) x)
7.0ms	(*.f64 (+.f64 x 1) y)

series157.0ms (7.1%)

Counts

4 → 12

Calls

4 calls:

64.0ms	(pow.f64 (-.f64 (*.f64 (+.f64 x 1) y) x) 3)
37.0ms	(*.f64 (+.f64 x 1) y)
30.0ms	(cbrt.f64 (pow.f64 (-.f64 (*.f64 (+.f64 x 1) y) x) 3))
26.0ms	(-.f64 (*.f64 (+.f64 x 1) y) x)

simplify77.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4952	1428
1	4952	1428

prune80.0ms (3.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	95	4	99

Merged error: 0b

Counts

99 → 4

Compiler

Compiled 1444 to 1003 computations (30.5% saved)

regimes36.0ms (1.6%)

Compiler: Compiled 162 to 140 computations (13.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample427.0ms (19.2%)

Algorithm

1×

intervals

Results

196.0ms	7999×	body	128	valid
2.0ms	71×	body	128	invalid
0.0ms	1×	body	1024	valid

Compiler

Compiled 63 to 55 computations (12.7% saved)

Details

analyze65.0ms (2.9%)

sample13.0ms (0.6%)

simplify180.0ms (8.1%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite16.0ms (0.7%)

series66.0ms (3%)

simplify61.0ms (2.8%)

prune48.0ms (2.2%)

localize8.0ms (0.4%)

rewrite35.0ms (1.6%)

series177.0ms (8%)

simplify75.0ms (3.4%)

prune137.0ms (6.2%)

localize9.0ms (0.4%)

rewrite48.0ms (2.2%)

series306.0ms (13.8%)

simplify58.0ms (2.6%)

prune86.0ms (3.9%)

localize8.0ms (0.4%)

rewrite37.0ms (1.7%)

series157.0ms (7.1%)

simplify77.0ms (3.5%)

prune80.0ms (3.6%)

regimes36.0ms (1.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample427.0ms (19.2%)

Profiling