Details

analyze1.0s (11%)

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)

sample26.0ms (0.3%)

Algorithm

1×

intervals

Results

8.0ms	217×	body	128	valid
2.0ms	15×	body	512	valid
1.0ms	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)

simplify254.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4917	19
1	4917	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))

rewrite44.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_19021` `*-un-lft-identity_binary64_18999`
13×	`flip3--_binary64_19003` `flip--_binary64_18974`
10×	`add-exp-log_binary64_19037` `add-cbrt-cube_binary64_19035`
9×	`add-cube-cbrt_binary64_19034`
8×	`frac-times_binary64_19009` `associate-/l/_binary64_18946`
6×	`cancel-sign-sub-inv_binary64_18965`
5×	`add-log-exp_binary64_19038` `associate-/r_binary64_18943` `pow1_binary64_19060` `times-frac_binary64_19005` `associate-l_binary64_18940` `associate-r*_binary64_18939`
4×	`distribute-lft-in_binary64_18948` `distribute-lft-out--_binary64_18951` `associate-r/_binary64_18941` `difference-of-squares_binary64_18968` `distribute-rgt-in_binary64_18949` `associate-l/_binary64_18942`
2×	`cbrt-undiv_binary64_19033` `associate-/r/_binary64_18945` `prod-exp_binary64_19048` `div-exp_binary64_19050` `sub-neg_binary64_18992` `cbrt-unprod_binary64_19032`
1×	`frac-2neg_binary64_19010` `associate-/l_binary64_18944` `div-inv_binary64_18996` `clear-num_binary64_18998` `flip-+_binary64_18973` `-commutative_binary64_18930` `sum-log_binary64_19090` `distribute-lft-out_binary64_18950` `unswap-sqr_binary64_18967` `+-commutative_binary64_18929` `flip3-+_binary64_19002` `pow-prod-down_binary64_19070`

Counts

3 → 85

Calls

3 calls:

15.0ms	(/.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 (10.8%)

Counts

3 → 9

Calls

3 calls:

540.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t)))
395.0ms	(/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t))
83.0ms	(*.f64 (-.f64 y x) (-.f64 z t))

simplify65.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	6921	1705

prune405.0ms (4.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	87	7	94
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	87	8	95

Merged error: 3.0b

Counts

95 → 8

Compiler

Compiled 8727 to 4641 computations (46.8% 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))))

rewrite51.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`add-sqr-sqrt_binary64_19021`
73×	`*-un-lft-identity_binary64_18999`
51×	`times-frac_binary64_19005`
31×	`associate-r_binary64_18939`
27×	`add-cube-cbrt_binary64_19034`
23×	`distribute-lft-out--_binary64_18951` `difference-of-squares_binary64_18968`
10×	`add-exp-log_binary64_19037` `add-cbrt-cube_binary64_19035`
5×	`associate-/l_binary64_18944` `add-log-exp_binary64_19038` `associate-/r_binary64_18943` `pow1_binary64_19060` `flip3--_binary64_19003` `associate-l_binary64_18940` `flip--_binary64_18974`
4×	`associate-/r/_binary64_18945`
2×	`cbrt-undiv_binary64_19033` `div-inv_binary64_18996` `prod-exp_binary64_19048` `div-exp_binary64_19050` `unswap-sqr_binary64_18967` `frac-times_binary64_19009` `cbrt-unprod_binary64_19032` `associate-/l/_binary64_18946` `associate-*l/_binary64_18942`
1×	`frac-2neg_binary64_19010` `clear-num_binary64_18998` `flip-+_binary64_18973` `-commutative_binary64_18930` `sum-log_binary64_19090` `+-commutative_binary64_18929` `associate-r/_binary64_18941` `flip3-+_binary64_19002` `div-sub_binary64_19004` `pow-prod-down_binary64_19070`

Counts

3 → 119

Calls

3 calls:

21.0ms	(*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)))
9.0ms	(/.f64 (-.f64 z t) (-.f64 a t))
5.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t))))

series1.0s (10.8%)

Counts

3 → 9

Calls

3 calls:

524.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t))))
398.0ms	(*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)))
96.0ms	(/.f64 (-.f64 z t) (-.f64 a t))

simplify65.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5507	2426

prune325.0ms (3.5%)

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 7160 to 3419 computations (52.2% saved)

localize13.0ms (0.1%)

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)))))

rewrite67.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

82×	`frac-times_binary64_19009`
76×	`cbrt-div_binary64_19031`
56×	`flip3--_binary64_19003` `flip--_binary64_18974`
38×	`associate-*l/_binary64_18942`
32×	`associate-*r/_binary64_18941`
22×	`add-exp-log_binary64_19037`
16×	`add-cbrt-cube_binary64_19035`
13×	`pow1_binary64_19060` `add-sqr-sqrt_binary64_19021` `*-un-lft-identity_binary64_18999`
11×	`prod-exp_binary64_19048` `cbrt-unprod_binary64_19032`
10×	`cbrt-prod_binary64_19030`
7×	`add-cube-cbrt_binary64_19034`
6×	`add-log-exp_binary64_19038` `pow-prod-down_binary64_19070`
5×	`associate-l_binary64_18940`
3×	`distribute-lft-out--_binary64_18951` `difference-of-squares_binary64_18968`
2×	`cbrt-undiv_binary64_19033` `pow1/3_binary64_19081` `div-exp_binary64_19050`
1×	`flip-+_binary64_18973` `-commutative_binary64_18930` `sum-log_binary64_19090` `+-commutative_binary64_18929` `associate-r*_binary64_18939` `flip3-+_binary64_19002`

Counts

4 → 121

Calls

4 calls:

35.0ms	(.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 (14.9%)

Counts

4 → 12

Calls

4 calls:

562.0ms	(+.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)))))
402.0ms	(.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))))
220.0ms	(cbrt.f64 (-.f64 z t))
220.0ms	(cbrt.f64 (-.f64 z t))

simplify70.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5231	4565

prune150.0ms (1.6%)

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)

localize17.0ms (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 (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`add-sqr-sqrt_binary64_19021`
59×	`*-un-lft-identity_binary64_18999`
52×	`times-frac_binary64_19005`
46×	`associate-r_binary64_18939`
37×	`cbrt-prod_binary64_19030`
27×	`add-cube-cbrt_binary64_19034`
25×	`add-exp-log_binary64_19037`
18×	`cbrt-div_binary64_19031` `add-cbrt-cube_binary64_19035`
17×	`associate-l_binary64_18940`
16×	`distribute-lft-out--_binary64_18951` `difference-of-squares_binary64_18968`
10×	`associate-/r/_binary64_18945`
9×	`flip3--_binary64_19003` `flip--_binary64_18974`
8×	`prod-exp_binary64_19048` `cbrt-unprod_binary64_19032`
7×	`cbrt-undiv_binary64_19033` `div-exp_binary64_19050`
6×	`add-log-exp_binary64_19038` `pow1_binary64_19060` `unswap-sqr_binary64_18967`
5×	`frac-times_binary64_19009`
3×	`associate-r/_binary64_18941` `associate-l/_binary64_18942`
2×	`div-inv_binary64_18996` `pow1/3_binary64_19081`
1×	`flip-+_binary64_18973` `*-commutative_binary64_18930` `sum-log_binary64_19090` `+-commutative_binary64_18929` `flip3-+_binary64_19002` `pow-prod-down_binary64_19070`

Counts

4 → 134

Calls

4 calls:

45.0ms	(.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))))
5.0ms	(+.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))
4.0ms	(cbrt.f64 (-.f64 a t))

series1.5s (16.1%)

Counts

4 → 12

Calls

4 calls:

543.0ms	(+.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)))))
535.0ms	(.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))))
219.0ms	(cbrt.f64 (-.f64 a t))
218.0ms	(cbrt.f64 (-.f64 a t))

simplify66.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5593	3954

prune166.0ms (1.8%)

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 5098 to 1133 computations (77.8% saved)

regimes442.0ms (4.7%)

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 (1.0ms)

Iter	Nodes	Cost
0	88	88
1	88	88

end0.0ms (0%)

sample1.1s (11.6%)

Algorithm

1×

intervals

Results

279.0ms	6687×	body	128	valid
54.0ms	392×	body	1024	valid
52.0ms	504×	body	512	valid
51.0ms	1237×	body	128	invalid
24.0ms	336×	body	256	valid
14.0ms	81×	body	2048	valid

Compiler

Compiled 423 to 269 computations (36.4% saved)

Details

analyze1.0s (11%)

sample26.0ms (0.3%)

simplify254.0ms (2.7%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite44.0ms (0.5%)

series1.0s (10.8%)

simplify65.0ms (0.7%)

prune405.0ms (4.3%)

localize9.0ms (0.1%)

rewrite51.0ms (0.5%)

series1.0s (10.8%)

simplify65.0ms (0.7%)

prune325.0ms (3.5%)

localize13.0ms (0.1%)

rewrite67.0ms (0.7%)

series1.4s (14.9%)

simplify70.0ms (0.7%)

prune150.0ms (1.6%)

localize17.0ms (0.2%)

rewrite76.0ms (0.8%)

series1.5s (16.1%)

simplify66.0ms (0.7%)

prune166.0ms (1.8%)

regimes442.0ms (4.7%)

bsearch1.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample1.1s (11.6%)

Profiling