Details

analyze1.1s (12.7%)

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
14.9%	84.9%	0.2%	13
16.2%	83.5%	0.3%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample33.0ms (0.4%)

Algorithm

1×

intervals

Results

14.0ms	217×	body	128	valid
2.0ms	15×	body	512	valid
2.0ms	10×	body	1024	valid
1.0ms	34×	body	128	invalid
1.0ms	12×	body	256	valid
0.0ms	2×	body	2048	valid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify240.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	5014	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: 25.2b

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 x) (-.f64 z t))
2.7b	(+.f64 x (/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t)))
17.2b	(/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t))

rewrite46.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`*-un-lft-identity_binary64_16590` `add-sqr-sqrt_binary64_16611`
13×	`flip3--_binary64_16594` `flip--_binary64_16565`
10×	`add-exp-log_binary64_16625` `add-cbrt-cube_binary64_16623`
8×	`associate-/l/_binary64_16539` `frac-times_binary64_16600`
7×	`add-cube-cbrt_binary64_16622`
5×	`add-log-exp_binary64_16626` `times-frac_binary64_16596` `pow1_binary64_16648` `associate-r_binary64_16532` `associate-l_binary64_16533` `associate-/r*_binary64_16536`
4×	`associate-r/_binary64_16534` `associate-l/_binary64_16535` `difference-of-squares_binary64_16559` `distribute-lft-out--_binary64_16544`
2×	`sub-neg_binary64_16583` `cbrt-undiv_binary64_16621` `div-exp_binary64_16638` `associate-/r/_binary64_16538` `cbrt-unprod_binary64_16620` `prod-exp_binary64_16636`
1×	`unswap-sqr_binary64_16558` `pow-prod-down_binary64_16658` `clear-num_binary64_16589` `frac-2neg_binary64_16601` `distribute-rgt-in_binary64_16542` `associate-/l_binary64_16537` `flip-+_binary64_16564` `distribute-lft-out_binary64_16543` `distribute-lft-in_binary64_16541` `div-inv_binary64_16587` `sum-log_binary64_16678` `-commutative_binary64_16523` `+-commutative_binary64_16522` `flip3-+_binary64_16593`

Counts

3 → 79

Calls

3 calls:

18.0ms	(/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t))
11.0ms	(*.f64 (-.f64 y x) (-.f64 z t))
9.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t)))

series1.0s (11.6%)

Counts

3 → 9

Calls

3 calls:

544.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t)))
393.0ms	(/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t))
81.0ms	(*.f64 (-.f64 y x) (-.f64 z t))

simplify64.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	6765	1609

prune96.0ms (1.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	81	7	88
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	81	8	89

Merged error: 3.0b

Counts

89 → 8

Compiler

Compiled 1885 to 481 computations (74.5% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 z t) (-.f64 a t))
1.0b	(*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)))
2.7b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t))))

rewrite45.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`add-sqr-sqrt_binary64_16611`
73×	`*-un-lft-identity_binary64_16590`
51×	`times-frac_binary64_16596`
31×	`associate-r_binary64_16532`
27×	`add-cube-cbrt_binary64_16622`
23×	`difference-of-squares_binary64_16559` `distribute-lft-out--_binary64_16544`
10×	`add-exp-log_binary64_16625` `add-cbrt-cube_binary64_16623`
5×	`add-log-exp_binary64_16626` `associate-/l_binary64_16537` `pow1_binary64_16648` `flip3--_binary64_16594` `associate-l_binary64_16533` `flip--_binary64_16565` `associate-/r_binary64_16536`
4×	`associate-/r/_binary64_16538`
2×	`unswap-sqr_binary64_16558` `associate-*l/_binary64_16535` `associate-/l/_binary64_16539` `cbrt-undiv_binary64_16621` `div-exp_binary64_16638` `div-inv_binary64_16587` `frac-times_binary64_16600` `cbrt-unprod_binary64_16620` `prod-exp_binary64_16636`
1×	`pow-prod-down_binary64_16658` `associate-r/_binary64_16534` `clear-num_binary64_16589` `frac-2neg_binary64_16601` `flip-+_binary64_16564` `div-sub_binary64_16595` `sum-log_binary64_16678` `-commutative_binary64_16523` `+-commutative_binary64_16522` `flip3-+_binary64_16593`

Counts

3 → 119

Calls

3 calls:

20.0ms	(*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)))
9.0ms	(/.f64 (-.f64 z t) (-.f64 a t))
4.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t))))

series1.0s (11.8%)

Counts

3 → 9

Calls

3 calls:

535.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t))))
401.0ms	(*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)))
101.0ms	(/.f64 (-.f64 z t) (-.f64 a t))

simplify64.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5591	2426

prune116.0ms (1.3%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	120	8	128
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	122	14	136

Merged error: 3.0b

Counts

136 → 14

Compiler

Compiled 2887 to 640 computations (77.8% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 z t))
0.5b	(cbrt.f64 (-.f64 z t))
1.0b	(.f64 (-.f64 y x) (.f64 (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (/.f64 (cbrt.f64 (-.f64 z t)) (-.f64 a t))))
8.0b	(+.f64 x (.f64 (-.f64 y x) (.f64 (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (/.f64 (cbrt.f64 (-.f64 z t)) (-.f64 a t)))))

rewrite63.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

82×	`frac-times_binary64_16600`
76×	`cbrt-div_binary64_16619`
56×	`flip3--_binary64_16594` `flip--_binary64_16565`
38×	`associate-*l/_binary64_16535`
32×	`associate-*r/_binary64_16534`
22×	`add-exp-log_binary64_16625`
16×	`add-cbrt-cube_binary64_16623`
13×	`pow1_binary64_16648` `*-un-lft-identity_binary64_16590` `add-sqr-sqrt_binary64_16611`
11×	`cbrt-unprod_binary64_16620` `prod-exp_binary64_16636`
10×	`cbrt-prod_binary64_16618`
7×	`add-cube-cbrt_binary64_16622`
6×	`pow-prod-down_binary64_16658` `add-log-exp_binary64_16626`
5×	`associate-l_binary64_16533`
3×	`difference-of-squares_binary64_16559` `distribute-lft-out--_binary64_16544`
2×	`pow1/3_binary64_16669` `cbrt-undiv_binary64_16621` `div-exp_binary64_16638`
1×	`associate-r_binary64_16532` `flip-+_binary64_16564` `sum-log_binary64_16678` `*-commutative_binary64_16523` `+-commutative_binary64_16522` `flip3-+_binary64_16593`

Counts

4 → 121

Calls

4 calls:

31.0ms	(.f64 (-.f64 y x) (.f64 (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (/.f64 (cbrt.f64 (-.f64 z t)) (-.f64 a t))))
5.0ms	(+.f64 x (.f64 (-.f64 y x) (.f64 (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (/.f64 (cbrt.f64 (-.f64 z t)) (-.f64 a t)))))
4.0ms	(cbrt.f64 (-.f64 z t))
3.0ms	(cbrt.f64 (-.f64 z t))

series1.4s (15.9%)

Counts

4 → 12

Calls

4 calls:

559.0ms	(+.f64 x (.f64 (-.f64 y x) (.f64 (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (/.f64 (cbrt.f64 (-.f64 z t)) (-.f64 a t)))))
404.0ms	(.f64 (-.f64 y x) (.f64 (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (/.f64 (cbrt.f64 (-.f64 z t)) (-.f64 a t))))
221.0ms	(cbrt.f64 (-.f64 z t))
208.0ms	(cbrt.f64 (-.f64 z t))

simplify70.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	4979	4565
1	4979	4565

prune158.0ms (1.8%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	11	11
Picked	0	1	1
Done	0	2	2
Total	133	14	147

Merged error: 3.0b

Counts

147 → 14

Compiler

Compiled 4687 to 1146 computations (75.5% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 a t))
0.5b	(cbrt.f64 (-.f64 a t))
2.4b	(.f64 (/.f64 (-.f64 y x) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 (-.f64 z t) (cbrt.f64 (-.f64 a t))))
8.3b	(+.f64 x (.f64 (/.f64 (-.f64 y x) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 (-.f64 z t) (cbrt.f64 (-.f64 a t)))))

rewrite76.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`add-sqr-sqrt_binary64_16611`
59×	`*-un-lft-identity_binary64_16590`
52×	`times-frac_binary64_16596`
46×	`associate-r_binary64_16532`
37×	`cbrt-prod_binary64_16618`
27×	`add-cube-cbrt_binary64_16622`
25×	`add-exp-log_binary64_16625`
18×	`cbrt-div_binary64_16619` `add-cbrt-cube_binary64_16623`
17×	`associate-l_binary64_16533`
16×	`difference-of-squares_binary64_16559` `distribute-lft-out--_binary64_16544`
10×	`associate-/r/_binary64_16538`
9×	`flip3--_binary64_16594` `flip--_binary64_16565`
8×	`cbrt-unprod_binary64_16620` `prod-exp_binary64_16636`
7×	`cbrt-undiv_binary64_16621` `div-exp_binary64_16638`
6×	`unswap-sqr_binary64_16558` `add-log-exp_binary64_16626` `pow1_binary64_16648`
5×	`frac-times_binary64_16600`
3×	`associate-r/_binary64_16534` `associate-l/_binary64_16535`
2×	`pow1/3_binary64_16669` `div-inv_binary64_16587`
1×	`pow-prod-down_binary64_16658` `flip-+_binary64_16564` `sum-log_binary64_16678` `*-commutative_binary64_16523` `+-commutative_binary64_16522` `flip3-+_binary64_16593`

Counts

4 → 134

Calls

4 calls:

46.0ms	(.f64 (/.f64 (-.f64 y x) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 (-.f64 z t) (cbrt.f64 (-.f64 a t))))
4.0ms	(+.f64 x (.f64 (/.f64 (-.f64 y x) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 (-.f64 z t) (cbrt.f64 (-.f64 a t)))))
4.0ms	(cbrt.f64 (-.f64 a t))
3.0ms	(cbrt.f64 (-.f64 a t))

series1.5s (16.8%)

Counts

4 → 12

Calls

4 calls:

537.0ms	(.f64 (/.f64 (-.f64 y x) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 (-.f64 z t) (cbrt.f64 (-.f64 a t))))
524.0ms	(+.f64 x (.f64 (/.f64 (-.f64 y x) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 (-.f64 z t) (cbrt.f64 (-.f64 a t)))))
212.0ms	(cbrt.f64 (-.f64 a t))
207.0ms	(cbrt.f64 (-.f64 a t))

simplify65.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5317	3969

prune138.0ms (1.6%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	144	2	146
Fresh	0	10	10
Picked	0	1	1
Done	1	2	3
Total	145	15	160

Merged error: 2.8b

Counts

160 → 15

Compiler

Compiled 4454 to 708 computations (84.1% saved)

regimes250.0ms (2.9%)

Compiler: Compiled 1937 to 1313 computations (32.2% saved)

bsearch1.0ms (0%)

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

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	88	88
1	88	88

end0.0ms (0%)

sample1.2s (13.2%)

Algorithm

1×

intervals

Results

309.0ms	6687×	body	128	valid
74.0ms	392×	body	1024	valid
61.0ms	504×	body	512	valid
54.0ms	1237×	body	128	invalid
28.0ms	336×	body	256	valid
16.0ms	81×	body	2048	valid

Compiler

Compiled 423 to 269 computations (36.4% saved)

Details

analyze1.1s (12.7%)

sample33.0ms (0.4%)

simplify240.0ms (2.7%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite46.0ms (0.5%)

series1.0s (11.6%)

simplify64.0ms (0.7%)

prune96.0ms (1.1%)

localize9.0ms (0.1%)

rewrite45.0ms (0.5%)

series1.0s (11.8%)

simplify64.0ms (0.7%)

prune116.0ms (1.3%)

localize13.0ms (0.2%)

rewrite63.0ms (0.7%)

series1.4s (15.9%)

simplify70.0ms (0.8%)

prune158.0ms (1.8%)

localize13.0ms (0.2%)

rewrite76.0ms (0.9%)

series1.5s (16.8%)

simplify65.0ms (0.7%)

prune138.0ms (1.6%)

regimes250.0ms (2.9%)

bsearch1.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample1.2s (13.2%)

Profiling