Details

analyze646.0ms (13.1%)

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
16.4%	83.4%	0.2%	9
21.4%	78.4%	0.2%	10
25.1%	74.7%	0.2%	11
28%	70.2%	1.9%	12
39.6%	55.8%	4.6%	13
43.9%	50.4%	5.8%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample28.0ms (0.6%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
3.0ms	77×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify207.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	704	13
1	704	13

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: 7.5b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
0.0b	(*.f64 (-.f64 y x) z)
7.5b	(/.f64 (*.f64 (-.f64 y x) z) t)

rewrite23.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_12904` `*-un-lft-identity_binary64_12883`
10×	`add-exp-log_binary64_12918` `add-cbrt-cube_binary64_12916`
7×	`add-cube-cbrt_binary64_12915`
5×	`associate-l_binary64_12826` `pow1_binary64_12941` `add-log-exp_binary64_12919`
4×	`associate-*l/_binary64_12828`
3×	`associate-/r_binary64_12829` `associate-r*_binary64_12825` `times-frac_binary64_12889`
2×	`prod-exp_binary64_12929` `associate-/l/_binary64_12832` `div-exp_binary64_12931` `cbrt-unprod_binary64_12913` `flip3--_binary64_12887` `cbrt-undiv_binary64_12914` `flip--_binary64_12858`
1×	`flip3-+_binary64_12886` `-commutative_binary64_12816` `distribute-lft-out--_binary64_12837` `flip-+_binary64_12857` `sum-log_binary64_12971` `pow-prod-down_binary64_12951` `distribute-lft-out_binary64_12836` `difference-of-squares_binary64_12852` `frac-2neg_binary64_12894` `associate-/l_binary64_12830` `clear-num_binary64_12882` `+-commutative_binary64_12815` `unswap-sqr_binary64_12851` `div-inv_binary64_12880`

Counts

3 → 57

Calls

3 calls:

7.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)
7.0ms	(*.f64 (-.f64 y x) z)
5.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))

series245.0ms (5%)

Counts

3 → 9

Calls

3 calls:

104.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)
84.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
58.0ms	(*.f64 (-.f64 y x) z)

simplify65.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4978	824
1	4978	824

prune58.0ms (1.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	60	6	66
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	60	7	67

Merged error: 0.0b

Counts

67 → 7

Compiler

Compiled 975 to 288 computations (70.5% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
7.1b	(/.f64 (-.f64 y x) (/.f64 t z))

rewrite49.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

119×	`times-frac_binary64_12889`
88×	`*-un-lft-identity_binary64_12883`
86×	`add-sqr-sqrt_binary64_12904`
58×	`add-cube-cbrt_binary64_12915`
14×	`distribute-lft-out--_binary64_12837` `difference-of-squares_binary64_12852`
13×	`associate-/r*_binary64_12829`
7×	`add-exp-log_binary64_12918` `add-cbrt-cube_binary64_12916` `div-inv_binary64_12880`
5×	`associate-/l*_binary64_12830`
4×	`add-log-exp_binary64_12919`
3×	`div-exp_binary64_12931` `cbrt-undiv_binary64_12914`
2×	`pow1_binary64_12941` `associate-/l/_binary64_12832` `div-sub_binary64_12888`
1×	`flip3-+_binary64_12886` `flip-+_binary64_12857` `sum-log_binary64_12971` `distribute-lft-out_binary64_12836` `frac-2neg_binary64_12894` `flip3--_binary64_12887` `clear-num_binary64_12882` `+-commutative_binary64_12815` `associate-+r-_binary64_12819` `associate-/r/_binary64_12831` `flip--_binary64_12858`

Counts

2 → 114

Calls

2 calls:

23.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
10.0ms	(/.f64 (-.f64 y x) (/.f64 t z))

series190.0ms (3.9%)

Counts

2 → 6

Calls

2 calls:

111.0ms	(/.f64 (-.f64 y x) (/.f64 t z))
79.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))

simplify84.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	6102	2589

prune91.0ms (1.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	0	5	5
Picked	0	1	1
Done	1	0	1
Total	119	8	127

Merged error: 0b

Counts

127 → 8

Compiler

Compiled 2236 to 472 computations (78.9% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
7.2b	(*.f64 (-.f64 y x) (/.f64 z t))

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_12904`
13×	`associate-r_binary64_12825`
12×	`*-un-lft-identity_binary64_12883`
10×	`add-cube-cbrt_binary64_12915` `times-frac_binary64_12889`
7×	`add-exp-log_binary64_12918` `add-cbrt-cube_binary64_12916`
5×	`associate-l_binary64_12826`
4×	`pow1_binary64_12941` `add-log-exp_binary64_12919`
2×	`associate-*l/_binary64_12828` `frac-times_binary64_12893` `prod-exp_binary64_12929` `cbrt-unprod_binary64_12913` `flip3--_binary64_12887` `unswap-sqr_binary64_12851` `flip--_binary64_12858`
1×	`flip3-+_binary64_12886` `-commutative_binary64_12816` `distribute-lft-out--_binary64_12837` `flip-+_binary64_12857` `sum-log_binary64_12971` `pow-prod-down_binary64_12951` `associate-r/_binary64_12827` `difference-of-squares_binary64_12852` `div-exp_binary64_12931` `+-commutative_binary64_12815` `cbrt-undiv_binary64_12914` `div-inv_binary64_12880`

Counts

2 → 49

Calls

2 calls:

10.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
4.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

series186.0ms (3.8%)

Counts

2 → 6

Calls

2 calls:

103.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
82.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

simplify63.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5279	832

prune39.0ms (0.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	55	8	63

Merged error: 0b

Counts

63 → 8

Compiler

Compiled 913 to 255 computations (72.1% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 y x))
0.5b	(*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x)))
3.2b	(/.f64 (cbrt.f64 (-.f64 y x)) (/.f64 t z))
4.0b	(.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (/.f64 (cbrt.f64 (-.f64 y x)) (/.f64 t z)))

rewrite138.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Rules

367×	`times-frac_binary64_12889`
270×	`add-sqr-sqrt_binary64_12904`
257×	`*-un-lft-identity_binary64_12883`
187×	`add-cube-cbrt_binary64_12915`
170×	`cbrt-prod_binary64_12911`
117×	`associate-r_binary64_12825`
40×	`cbrt-div_binary64_12912`
34×	`distribute-lft-out--_binary64_12837`
32×	`add-exp-log_binary64_12918` `difference-of-squares_binary64_12852`
20×	`frac-times_binary64_12893` `flip3--_binary64_12887` `flip--_binary64_12858`
19×	`div-inv_binary64_12880`
18×	`add-cbrt-cube_binary64_12916`
16×	`pow1_binary64_12941`
14×	`associate-*l/_binary64_12828`
13×	`associate-/r*_binary64_12829`
10×	`prod-exp_binary64_12929` `swap-sqr_binary64_12850` `cbrt-unprod_binary64_12913`
9×	`associate-l_binary64_12826` `div-exp_binary64_12931` `cbrt-undiv_binary64_12914` `unswap-sqr_binary64_12851`
8×	`associate-/l*_binary64_12830`
7×	`associate-*r/_binary64_12827` `pow1/3_binary64_12962`
5×	`pow-prod-down_binary64_12951`
4×	`add-log-exp_binary64_12919`
2×	`*-commutative_binary64_12816` `associate-/l/_binary64_12832` `pow-prod-up_binary64_12950` `pow-sqr_binary64_12856` `associate-/r/_binary64_12831`
1×	`pow2_binary64_12961` `pow-plus_binary64_12943` `frac-2neg_binary64_12894` `clear-num_binary64_12882`

Counts

4 → 367

Calls

4 calls:

48.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (/.f64 (cbrt.f64 (-.f64 y x)) (/.f64 t z)))
12.0ms	(*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x)))
11.0ms	(/.f64 (cbrt.f64 (-.f64 y x)) (/.f64 t z))
3.0ms	(cbrt.f64 (-.f64 y x))

series1.1s (22.5%)

Counts

4 → 12

Calls

4 calls:

539.0ms	(/.f64 (cbrt.f64 (-.f64 y x)) (/.f64 t z))
232.0ms	(*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x)))
218.0ms	(cbrt.f64 (-.f64 y x))
122.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (/.f64 (cbrt.f64 (-.f64 y x)) (/.f64 t z)))

simplify144.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

379 → 379

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4986	9280
1	4986	9280

prune577.0ms (11.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	379	0	379
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	379	8	387

Merged error: 0b

Counts

387 → 8

Compiler

Compiled 10718 to 2159 computations (79.9% saved)

regimes117.0ms (2.4%)

Compiler: Compiled 424 to 344 computations (18.9% saved)

bsearch40.0ms (0.8%)

Steps

Iters	Range		Point
8	2.595165691508233e-45	4.85928193157446e-42	4.798514676887594e-42
8	-1.7775813462454038e-84	-1.6106006398802422e-87	-4.2474613733230925e-85

Compiler

Compiled 1 to 4 computations (-300% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	54
1	40	54

end0.0ms (0%)

sample775.0ms (15.7%)

Algorithm

1×

intervals

Results

262.0ms	8000×	body	128	valid
70.0ms	2055×	body	128	invalid

Compiler

Compiled 186 to 134 computations (28% saved)

Details

analyze646.0ms (13.1%)

sample28.0ms (0.6%)

simplify207.0ms (4.2%)

prune2.0ms (0%)

localize10.0ms (0.2%)

rewrite23.0ms (0.5%)

series245.0ms (5%)

simplify65.0ms (1.3%)

prune58.0ms (1.2%)

localize7.0ms (0.1%)

rewrite49.0ms (1%)

series190.0ms (3.9%)

simplify84.0ms (1.7%)

prune91.0ms (1.8%)

localize7.0ms (0.1%)

rewrite18.0ms (0.4%)

series186.0ms (3.8%)

simplify63.0ms (1.3%)

prune39.0ms (0.8%)

localize11.0ms (0.2%)

rewrite138.0ms (2.8%)

series1.1s (22.5%)

simplify144.0ms (2.9%)

prune577.0ms (11.7%)

regimes117.0ms (2.4%)

bsearch40.0ms (0.8%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample775.0ms (15.7%)

Profiling