Details

analyze885.0ms (20%)

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
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
26.2%	73.6%	0.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample22.0ms (0.5%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	19×	body	128	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify284.0ms (6.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (105.0ms)

Iter	Nodes	Cost
0	4824	16
1	4824	16

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: 11.8b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 y (-.f64 z t))
11.5b	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))

rewrite23.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_16948`
12×	`*-un-lft-identity_binary64_16927`
9×	`add-cbrt-cube_binary64_16960` `add-exp-log_binary64_16962`
6×	`add-cube-cbrt_binary64_16959`
5×	`times-frac_binary64_16933` `associate-/r_binary64_16873` `associate-r*_binary64_16869`
4×	`pow1_binary64_16985` `associate-*r/_binary64_16871`
3×	`flip3--_binary64_16931` `associate-l_binary64_16870` `flip--_binary64_16902` `distribute-lft-out--_binary64_16881` `difference-of-squares_binary64_16896`
2×	`cbrt-unprod_binary64_16957` `div-exp_binary64_16975` `associate-/r/_binary64_16875` `sub-neg_binary64_16920` `prod-exp_binary64_16973` `associate-/l/_binary64_16876` `add-log-exp_binary64_16963` `cbrt-undiv_binary64_16958`
1×	`unswap-sqr_binary64_16895` `div-inv_binary64_16924` `distribute-lft-in_binary64_16878` `pow-prod-down_binary64_16995` `-commutative_binary64_16860` `frac-2neg_binary64_16938` `distribute-rgt-in_binary64_16879` `associate-/l_binary64_16874` `clear-num_binary64_16926`

Counts

2 → 53

Calls

2 calls:

11.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))
8.0ms	(*.f64 y (-.f64 z t))

series251.0ms (5.7%)

Counts

2 → 6

Calls

2 calls:

189.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))
62.0ms	(*.f64 y (-.f64 z t))

simplify44.0ms (1%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5001	716

prune55.0ms (1.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	55	4	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	5	60

Merged error: 0b

Counts

60 → 5

Compiler

Compiled 967 to 275 computations (71.6% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 a t) (-.f64 z t))
2.4b	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))

rewrite53.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

218×	`times-frac_binary64_16933`
194×	`*-un-lft-identity_binary64_16927` `add-sqr-sqrt_binary64_16948`
90×	`add-cube-cbrt_binary64_16959`
52×	`distribute-lft-out--_binary64_16881` `difference-of-squares_binary64_16896`
36×	`associate-/r*_binary64_16873`
11×	`associate-/r/_binary64_16875`
9×	`add-cbrt-cube_binary64_16960` `add-exp-log_binary64_16962`
8×	`associate-/l*_binary64_16874`
6×	`div-inv_binary64_16924` `flip3--_binary64_16931` `flip--_binary64_16902`
4×	`div-exp_binary64_16975` `cbrt-undiv_binary64_16958`
2×	`pow1_binary64_16985` `frac-2neg_binary64_16938` `associate-/l/_binary64_16876` `clear-num_binary64_16926` `add-log-exp_binary64_16963`
1×	`div-sub_binary64_16932`

Counts

2 → 194

Calls

2 calls:

15.0ms	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))
12.0ms	(/.f64 (-.f64 a t) (-.f64 z t))

series421.0ms (9.5%)

Counts

2 → 6

Calls

2 calls:

324.0ms	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))
97.0ms	(/.f64 (-.f64 a t) (-.f64 z t))

simplify88.0ms (2%)

Algorithm

1×	egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5028	4887

prune144.0ms (3.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	199	1	200
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	200	5	205

Merged error: 0b

Counts

205 → 5

Compiler

Compiled 4285 to 711 computations (83.4% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 z t) (-.f64 a t))
2.2b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

rewrite41.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`add-sqr-sqrt_binary64_16948`
70×	`*-un-lft-identity_binary64_16927`
51×	`times-frac_binary64_16933`
31×	`associate-r_binary64_16869`
26×	`add-cube-cbrt_binary64_16959`
22×	`distribute-lft-out--_binary64_16881` `difference-of-squares_binary64_16896`
9×	`add-cbrt-cube_binary64_16960` `add-exp-log_binary64_16962`
5×	`associate-/r_binary64_16873` `associate-/l_binary64_16874`
4×	`associate-/r/_binary64_16875` `pow1_binary64_16985`
3×	`flip3--_binary64_16931` `associate-l_binary64_16870` `flip--_binary64_16902`
2×	`unswap-sqr_binary64_16895` `div-inv_binary64_16924` `cbrt-unprod_binary64_16957` `div-exp_binary64_16975` `prod-exp_binary64_16973` `associate-/l/_binary64_16876` `add-log-exp_binary64_16963` `cbrt-undiv_binary64_16958`
1×	`pow-prod-down_binary64_16995` `-commutative_binary64_16860` `associate-r/_binary64_16871` `frac-2neg_binary64_16938` `div-sub_binary64_16932` `clear-num_binary64_16926`

Counts

2 → 102

Calls

2 calls:

17.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
13.0ms	(/.f64 (-.f64 z t) (-.f64 a t))

series261.0ms (5.9%)

Counts

2 → 6

Calls

2 calls:

171.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
90.0ms	(/.f64 (-.f64 z t) (-.f64 a t))

simplify50.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5261	1767

prune77.0ms (1.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	109	4	113

Merged error: 0b

Counts

113 → 4

Compiler

Compiled 2001 to 413 computations (79.4% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 z (-.f64 a t))
0.0b	(/.f64 t (-.f64 a t))
0.0b	(-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t)))
2.2b	(*.f64 y (-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t))))

rewrite106.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

98×	`*-un-lft-identity_binary64_16927`
80×	`add-sqr-sqrt_binary64_16948`
66×	`times-frac_binary64_16933`
32×	`distribute-lft-out--_binary64_16881`
30×	`add-cube-cbrt_binary64_16959`
20×	`difference-of-squares_binary64_16896`
18×	`associate-r_binary64_16869`
12×	`associate-/r/_binary64_16875`
10×	`add-cbrt-cube_binary64_16960` `add-exp-log_binary64_16962` `associate-/r*_binary64_16873`
8×	`flip3--_binary64_16931` `flip--_binary64_16902`
6×	`div-inv_binary64_16924` `pow1_binary64_16985` `associate-/l*_binary64_16874` `distribute-rgt-out--_binary64_16883` `add-log-exp_binary64_16963`
4×	`associate-*r/_binary64_16871`
3×	`associate-l_binary64_16870` `sub-neg_binary64_16920`
2×	`frac-sub_binary64_16936` `div-exp_binary64_16975` `sub-div_binary64_16934` `frac-2neg_binary64_16938` `clear-num_binary64_16926` `cbrt-undiv_binary64_16958`
1×	`unswap-sqr_binary64_16895` `cbrt-unprod_binary64_16957` `distribute-lft-in_binary64_16878` `pow-prod-down_binary64_16995` `*-commutative_binary64_16860` `prod-exp_binary64_16973` `distribute-rgt-in_binary64_16879` `diff-log_binary64_17016`

Counts

4 → 141

Calls

4 calls:

43.0ms	(*.f64 y (-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t))))
34.0ms	(-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t)))
6.0ms	(/.f64 z (-.f64 a t))
6.0ms	(/.f64 t (-.f64 a t))

series531.0ms (12%)

Counts

4 → 12

Calls

4 calls:

259.0ms	(*.f64 y (-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t))))
147.0ms	(-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t)))
69.0ms	(/.f64 z (-.f64 a t))
55.0ms	(/.f64 t (-.f64 a t))

simplify73.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5739	2450

prune115.0ms (2.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	153	4	157

Merged error: 0b

Counts

157 → 4

Compiler

Compiled 3307 to 701 computations (78.8% saved)

regimes108.0ms (2.4%)

Compiler: Compiled 386 to 375 computations (2.8% saved)

bsearch1.0ms (0%)

Compiler: Compiled 9 to 9 computations (0% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	52	90
1	52	90

end0.0ms (0%)

sample753.0ms (17%)

Algorithm

1×

intervals

Results

324.0ms	7997×	body	128	valid
25.0ms	682×	body	128	invalid
0.0ms	2×	body	1024	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 132 to 91 computations (31.1% saved)

Details

analyze885.0ms (20%)

sample22.0ms (0.5%)

simplify284.0ms (6.4%)

prune2.0ms (0%)

localize9.0ms (0.2%)

rewrite23.0ms (0.5%)

series251.0ms (5.7%)

simplify44.0ms (1%)

prune55.0ms (1.2%)

localize8.0ms (0.2%)

rewrite53.0ms (1.2%)

series421.0ms (9.5%)

simplify88.0ms (2%)

prune144.0ms (3.3%)

localize8.0ms (0.2%)

rewrite41.0ms (0.9%)

series261.0ms (5.9%)

simplify50.0ms (1.1%)

prune77.0ms (1.7%)

localize10.0ms (0.2%)

rewrite106.0ms (2.4%)

series531.0ms (12%)

simplify73.0ms (1.7%)

prune115.0ms (2.6%)

regimes108.0ms (2.4%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample753.0ms (17%)

Profiling