Details

analyze1.3s (12.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
1.8%	98%	0.2%	10
7.7%	92.1%	0.2%	11
10.4%	89.4%	0.2%	12
12.2%	87.6%	0.2%	13
21.8%	77.8%	0.4%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample29.0ms (0.3%)

Algorithm

1×

intervals

Results

8.0ms	212×	body	128	valid
2.0ms	21×	body	512	valid
2.0ms	13×	body	1024	valid
2.0ms	42×	body	128	invalid
1.0ms	10×	body	256	valid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify260.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4851	19
1	4851	19

prune2.0ms (0%)

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: 26.9b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 y z) (-.f64 t x))
3.3b	(+.f64 x (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z)))
18.3b	(/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z))

rewrite42.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_13241` `*-un-lft-identity_binary64_13220`
13×	`flip--_binary64_13195` `flip3--_binary64_13224`
10×	`add-exp-log_binary64_13255` `add-cbrt-cube_binary64_13253`
8×	`frac-times_binary64_13230` `associate-/l/_binary64_13169`
7×	`add-cube-cbrt_binary64_13252`
5×	`associate-r_binary64_13162` `associate-/r_binary64_13166` `associate-l*_binary64_13163` `times-frac_binary64_13226` `pow1_binary64_13278` `add-log-exp_binary64_13256`
4×	`difference-of-squares_binary64_13189` `associate-l/_binary64_13165` `distribute-lft-out--_binary64_13174` `associate-r/_binary64_13164`
2×	`associate-/r/_binary64_13168` `prod-exp_binary64_13266` `cbrt-unprod_binary64_13250` `cbrt-undiv_binary64_13251` `sub-neg_binary64_13213` `div-exp_binary64_13268`
1×	`clear-num_binary64_13219` `distribute-rgt-in_binary64_13172` `unswap-sqr_binary64_13188` `sum-log_binary64_13308` `flip-+_binary64_13194` `div-inv_binary64_13217` `+-commutative_binary64_13152` `distribute-lft-out_binary64_13173` `pow-prod-down_binary64_13288` `frac-2neg_binary64_13231` `associate-/l_binary64_13167` `distribute-lft-in_binary64_13171` `flip3-+_binary64_13223` `-commutative_binary64_13153`

Counts

3 → 79

Calls

3 calls:

15.0ms	(/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z))
10.0ms	(*.f64 (-.f64 y z) (-.f64 t x))
9.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z)))

series922.0ms (9%)

Counts

3 → 9

Calls

3 calls:

491.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z)))
360.0ms	(/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z))
71.0ms	(*.f64 (-.f64 y z) (-.f64 t x))

simplify66.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	6742	1599

prune109.0ms (1.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	77	11	88
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	77	12	89

Merged error: 4.2b

Counts

89 → 12

Compiler

Compiled 1980 to 538 computations (72.8% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 t x) (-.f64 a z))
4.0b	(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))
4.4b	(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))

rewrite48.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`add-sqr-sqrt_binary64_13241`
73×	`*-un-lft-identity_binary64_13220`
51×	`times-frac_binary64_13226`
31×	`associate-r_binary64_13162`
27×	`add-cube-cbrt_binary64_13252`
23×	`difference-of-squares_binary64_13189` `distribute-lft-out--_binary64_13174`
10×	`add-exp-log_binary64_13255` `add-cbrt-cube_binary64_13253`
5×	`associate-/r_binary64_13166` `associate-l_binary64_13163` `flip--_binary64_13195` `pow1_binary64_13278` `add-log-exp_binary64_13256` `associate-/l_binary64_13167` `flip3--_binary64_13224`
4×	`associate-/r/_binary64_13168`
2×	`frac-times_binary64_13230` `unswap-sqr_binary64_13188` `div-inv_binary64_13217` `associate-*l/_binary64_13165` `prod-exp_binary64_13266` `associate-/l/_binary64_13169` `cbrt-unprod_binary64_13250` `cbrt-undiv_binary64_13251` `div-exp_binary64_13268`
1×	`clear-num_binary64_13219` `sum-log_binary64_13308` `flip-+_binary64_13194` `div-sub_binary64_13225` `+-commutative_binary64_13152` `pow-prod-down_binary64_13288` `associate-r/_binary64_13164` `frac-2neg_binary64_13231` `flip3-+_binary64_13223` `-commutative_binary64_13153`

Counts

3 → 119

Calls

3 calls:

23.0ms	(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))
9.0ms	(/.f64 (-.f64 t x) (-.f64 a z))
4.0ms	(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))

series988.0ms (9.7%)

Counts

3 → 9

Calls

3 calls:

496.0ms	(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))
361.0ms	(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))
131.0ms	(/.f64 (-.f64 t x) (-.f64 a z))

simplify69.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5636	2420

prune115.0ms (1.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	122	6	128
Fresh	4	6	10
Picked	1	0	1
Done	0	1	1
Total	127	13	140

Merged error: 4.2b

Counts

140 → 13

Compiler

Compiled 2910 to 633 computations (78.2% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 a z))
0.6b	(cbrt.f64 (-.f64 a z))
0.6b	(.f64 (-.f64 y z) (/.f64 (.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))))
9.6b	(+.f64 x (.f64 (.f64 (-.f64 y z) (/.f64 (.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z))))) (/.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 a z)))))

rewrite56.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-exp-log_binary64_13255`
17×	`add-sqr-sqrt_binary64_13241`
16×	`cbrt-div_binary64_13249`
14×	`add-cbrt-cube_binary64_13253` `*-un-lft-identity_binary64_13220`
13×	`associate-r_binary64_13162`
10×	`flip--_binary64_13195` `cbrt-prod_binary64_13248` `flip3--_binary64_13224`
9×	`prod-exp_binary64_13266` `cbrt-unprod_binary64_13250`
8×	`associate-/r/_binary64_13168` `add-cube-cbrt_binary64_13252`
6×	`frac-times_binary64_13230` `pow1_binary64_13278` `add-log-exp_binary64_13256`
5×	`associate-l_binary64_13163`
4×	`associate-*l/_binary64_13165` `cbrt-undiv_binary64_13251` `div-exp_binary64_13268`
3×	`difference-of-squares_binary64_13189` `distribute-lft-out--_binary64_13174` `associate-*r/_binary64_13164`
2×	`pow1/3_binary64_13299` `unswap-sqr_binary64_13188` `times-frac_binary64_13226`
1×	`sum-log_binary64_13308` `flip-+_binary64_13194` `div-inv_binary64_13217` `+-commutative_binary64_13152` `pow-prod-down_binary64_13288` `flip3-+_binary64_13223` `*-commutative_binary64_13153`

Counts

4 → 85

Calls

4 calls:

28.0ms	(.f64 (-.f64 y z) (/.f64 (.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))))
6.0ms	(cbrt.f64 (-.f64 a z))
5.0ms	(+.f64 x (.f64 (.f64 (-.f64 y z) (/.f64 (.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z))))) (/.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 a z)))))
3.0ms	(cbrt.f64 (-.f64 a z))

series2.2s (21.3%)

Counts

4 → 12

Calls

4 calls:

1.2s	(.f64 (-.f64 y z) (/.f64 (.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))))
545.0ms	(+.f64 x (.f64 (.f64 (-.f64 y z) (/.f64 (.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z))))) (/.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 a z)))))
230.0ms	(cbrt.f64 (-.f64 a z))
219.0ms	(cbrt.f64 (-.f64 a z))

simplify77.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5048	2503

prune125.0ms (1.2%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	1	10	11
Picked	0	1	1
Done	0	1	1
Total	97	13	110

Merged error: 4.2b

Counts

110 → 13

Compiler

Compiled 4067 to 817 computations (79.9% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 a z))
0.6b	(cbrt.f64 (-.f64 a z))
0.6b	(cbrt.f64 (-.f64 a z))
12.3b	(+.f64 x (.f64 (.f64 (*.f64 (-.f64 y z) (/.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 a z)))) (/.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 a z)))) (/.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 a z)))))

rewrite24.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`cbrt-prod_binary64_13248`
13×	`add-sqr-sqrt_binary64_13241` `*-un-lft-identity_binary64_13220`
7×	`add-cube-cbrt_binary64_13252`
6×	`cbrt-div_binary64_13249` `add-log-exp_binary64_13256`
4×	`add-exp-log_binary64_13255` `pow1_binary64_13278` `add-cbrt-cube_binary64_13253`
3×	`difference-of-squares_binary64_13189` `pow1/3_binary64_13299` `flip--_binary64_13195` `distribute-lft-out--_binary64_13174` `flip3--_binary64_13224`
1×	`sum-log_binary64_13308` `flip-+_binary64_13194` `+-commutative_binary64_13152` `flip3-+_binary64_13223`

Counts

4 → 56

Calls

4 calls:

6.0ms	(+.f64 x (.f64 (.f64 (*.f64 (-.f64 y z) (/.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 a z)))) (/.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 a z)))) (/.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 a z)))))
4.0ms	(cbrt.f64 (-.f64 a z))
4.0ms	(cbrt.f64 (-.f64 a z))
3.0ms	(cbrt.f64 (-.f64 a z))

series1.2s (11.5%)

Counts

4 → 12

Calls

4 calls:

533.0ms	(+.f64 x (.f64 (.f64 (*.f64 (-.f64 y z) (/.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 a z)))) (/.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 a z)))) (/.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 a z)))))
226.0ms	(cbrt.f64 (-.f64 a z))
212.0ms	(cbrt.f64 (-.f64 a z))
207.0ms	(cbrt.f64 (-.f64 a z))

simplify67.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4925	1043
1	4925	1043

prune77.0ms (0.8%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	10	10
Picked	0	1	1
Done	0	2	2
Total	67	14	81

Merged error: 4.2b

Counts

81 → 14

Compiler

Compiled 2557 to 395 computations (84.6% saved)

regimes721.0ms (7%)

Compiler: Compiled 7020 to 4538 computations (35.4% saved)

bsearch4.0ms (0%)

Compiler: Compiled 13 to 11 computations (15.4% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	68	118
1	68	118

end0.0ms (0%)

sample1.7s (17%)

Algorithm

1×

intervals

Results

291.0ms	6706×	body	128	valid
57.0ms	369×	body	1024	valid
53.0ms	1217×	body	128	invalid
52.0ms	486×	body	512	valid
28.0ms	372×	body	256	valid
12.0ms	67×	body	2048	valid

Compiler

Compiled 1275 to 798 computations (37.4% saved)

Details

analyze1.3s (12.5%)

sample29.0ms (0.3%)

simplify260.0ms (2.5%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite42.0ms (0.4%)

series922.0ms (9%)

simplify66.0ms (0.6%)

prune109.0ms (1.1%)

localize9.0ms (0.1%)

rewrite48.0ms (0.5%)

series988.0ms (9.7%)

simplify69.0ms (0.7%)

prune115.0ms (1.1%)

localize17.0ms (0.2%)

rewrite56.0ms (0.5%)

series2.2s (21.3%)

simplify77.0ms (0.8%)

prune125.0ms (1.2%)

localize19.0ms (0.2%)

rewrite24.0ms (0.2%)

series1.2s (11.5%)

simplify67.0ms (0.7%)

prune77.0ms (0.8%)

regimes721.0ms (7%)

bsearch4.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.7s (17%)

Profiling