Details

analyze610.0ms (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
3.1%	96.7%	0.2%	8
17.2%	82.7%	0.2%	9
21.8%	78%	0.2%	10
30%	68.8%	1.2%	11
31.8%	65.3%	2.9%	12
40.1%	55.3%	4.6%	13
44.5%	50.1%	5.4%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample20.0ms (0.4%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	74×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify213.0ms (4.4%)

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

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 1.3b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
5.0b	(*.f64 (/.f64 x y) (-.f64 z t))

rewrite30.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_14205`
16×	`*-un-lft-identity_binary64_14183`
14×	`add-cube-cbrt_binary64_14218`
13×	`associate-l_binary64_14124`
12×	`cancel-sign-sub-inv_binary64_14149`
10×	`times-frac_binary64_14189`
8×	`associate-+l+_binary64_14116` `distribute-lft-in_binary64_14132` `distribute-rgt-in_binary64_14133`
7×	`add-cbrt-cube_binary64_14219` `add-exp-log_binary64_14221`
5×	`associate-r_binary64_14123`
4×	`sub-neg_binary64_14176` `pow1_binary64_14244` `add-log-exp_binary64_14222`
2×	`flip--_binary64_14158` `prod-exp_binary64_14232` `frac-times_binary64_14193` `associate-*r/_binary64_14125` `flip3--_binary64_14187` `unswap-sqr_binary64_14151` `cbrt-unprod_binary64_14216`
1×	`div-inv_binary64_14180` `cbrt-undiv_binary64_14217` `flip3-+_binary64_14186` `associate-l/_binary64_14126` `-commutative_binary64_14114` `difference-of-squares_binary64_14152` `sum-log_binary64_14274` `pow-prod-down_binary64_14254` `flip-+_binary64_14157` `div-exp_binary64_14234` `distribute-lft-out--_binary64_14135` `+-commutative_binary64_14113`

Counts

2 → 65

Calls

2 calls:

12.0ms	(*.f64 (/.f64 x y) (-.f64 z t))
11.0ms	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)

series203.0ms (4.2%)

Counts

2 → 6

Calls

2 calls:

130.0ms	(*.f64 (/.f64 x y) (-.f64 z t))
73.0ms	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)

simplify62.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5047	1022

prune173.0ms (3.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	64	7	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	7	72

Merged error: 0.0b

Counts

72 → 7

Compiler

Compiled 3350 to 1679 computations (49.9% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (/.f64 x y) z) (.f64 (/.f64 x y) (neg.f64 t)))
0.0b	(+.f64 (+.f64 (.f64 (/.f64 x y) z) (.f64 (/.f64 x y) (neg.f64 t))) t)
3.0b	(*.f64 (/.f64 x y) (neg.f64 t))
3.4b	(*.f64 (/.f64 x y) z)

rewrite47.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-sqr-sqrt_binary64_14205`
26×	`associate-l_binary64_14124`
24×	`*-un-lft-identity_binary64_14183`
22×	`add-cube-cbrt_binary64_14218`
20×	`times-frac_binary64_14189`
14×	`add-cbrt-cube_binary64_14219` `add-exp-log_binary64_14221`
13×	`associate-r_binary64_14123`
11×	`add-log-exp_binary64_14222`
8×	`pow1_binary64_14244`
4×	`prod-exp_binary64_14232` `unswap-sqr_binary64_14151` `associate-*l/_binary64_14126` `sum-log_binary64_14274` `cbrt-unprod_binary64_14216`
3×	`distribute-lft-neg-in_binary64_14140` `distribute-rgt-neg-in_binary64_14141` `distribute-rgt-neg-out_binary64_14143`
2×	`distribute-lft-out_binary64_14134` `div-inv_binary64_14180` `cbrt-undiv_binary64_14217` `flip3-+_binary64_14186` `*-commutative_binary64_14114` `unsub-neg_binary64_14177` `pow-prod-down_binary64_14254` `flip-+_binary64_14157` `div-exp_binary64_14234` `+-commutative_binary64_14113`
1×	`frac-add_binary64_14191` `associate-+l+_binary64_14116` `associate-+l-_binary64_14118` `neg-mul-1_binary64_14179`

Counts

4 → 101

Calls

4 calls:

11.0ms	(+.f64 (+.f64 (.f64 (/.f64 x y) z) (.f64 (/.f64 x y) (neg.f64 t))) t)
10.0ms	(*.f64 (/.f64 x y) (neg.f64 t))
10.0ms	(+.f64 (.f64 (/.f64 x y) z) (.f64 (/.f64 x y) (neg.f64 t)))
7.0ms	(*.f64 (/.f64 x y) z)

series267.0ms (5.6%)

Counts

4 → 12

Calls

4 calls:

99.0ms	(+.f64 (.f64 (/.f64 x y) z) (.f64 (/.f64 x y) (neg.f64 t)))
79.0ms	(+.f64 (+.f64 (.f64 (/.f64 x y) z) (.f64 (/.f64 x y) (neg.f64 t))) t)
45.0ms	(*.f64 (/.f64 x y) (neg.f64 t))
43.0ms	(*.f64 (/.f64 x y) z)

simplify62.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5488	1379

prune98.0ms (2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	113	7	120

Merged error: 0.0b

Counts

120 → 7

Compiler

Compiled 2367 to 659 computations (72.2% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

5.0b	(*.f64 (/.f64 x y) (-.f64 z t))
7.9b	(cbrt.f64 (*.f64 (/.f64 x y) (-.f64 z t)))
7.9b	(cbrt.f64 (*.f64 (/.f64 x y) (-.f64 z t)))
7.9b	(cbrt.f64 (*.f64 (/.f64 x y) (-.f64 z t)))

rewrite43.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_14205`
16×	`*-un-lft-identity_binary64_14183`
15×	`cbrt-div_binary64_14215`
14×	`add-cube-cbrt_binary64_14218`
13×	`associate-l_binary64_14124`
10×	`times-frac_binary64_14189`
9×	`add-cbrt-cube_binary64_14219` `add-exp-log_binary64_14221`
8×	`flip--_binary64_14158` `frac-times_binary64_14193` `associate-*r/_binary64_14125` `flip3--_binary64_14187`
6×	`cancel-sign-sub-inv_binary64_14149` `pow1_binary64_14244`
5×	`associate-r_binary64_14123`
4×	`associate-*l/_binary64_14126` `distribute-lft-in_binary64_14132` `distribute-rgt-in_binary64_14133` `add-log-exp_binary64_14222`
3×	`pow1/3_binary64_14265` `cbrt-prod_binary64_14214`
2×	`sub-neg_binary64_14176` `prod-exp_binary64_14232` `unswap-sqr_binary64_14151` `cbrt-unprod_binary64_14216`
1×	`div-inv_binary64_14180` `cbrt-undiv_binary64_14217` `*-commutative_binary64_14114` `difference-of-squares_binary64_14152` `pow-prod-down_binary64_14254` `div-exp_binary64_14234` `distribute-lft-out--_binary64_14135`

Counts

4 → 88

Calls

4 calls:

11.0ms	(*.f64 (/.f64 x y) (-.f64 z t))
7.0ms	(cbrt.f64 (*.f64 (/.f64 x y) (-.f64 z t)))
7.0ms	(cbrt.f64 (*.f64 (/.f64 x y) (-.f64 z t)))
7.0ms	(cbrt.f64 (*.f64 (/.f64 x y) (-.f64 z t)))

series1.0s (21.2%)

Counts

4 → 12

Calls

4 calls:

311.0ms	(cbrt.f64 (*.f64 (/.f64 x y) (-.f64 z t)))
289.0ms	(cbrt.f64 (*.f64 (/.f64 x y) (-.f64 z t)))
288.0ms	(cbrt.f64 (*.f64 (/.f64 x y) (-.f64 z t)))
129.0ms	(*.f64 (/.f64 x y) (-.f64 z t))

simplify60.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5043	1556

prune101.0ms (2.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	100	7	107

Merged error: 0.0b

Counts

107 → 7

Compiler

Compiled 3446 to 565 computations (83.6% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
1.8b	(*.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) y))
4.8b	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1) (*.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) y)))

rewrite51.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

66×	`add-exp-log_binary64_14221`
35×	`add-cbrt-cube_binary64_14219`
33×	`prod-exp_binary64_14232`
32×	`add-sqr-sqrt_binary64_14205`
24×	`*-un-lft-identity_binary64_14183`
23×	`times-frac_binary64_14189` `associate-r_binary64_14123`
22×	`add-cube-cbrt_binary64_14218`
20×	`cbrt-unprod_binary64_14216`
18×	`div-exp_binary64_14234`
16×	`cbrt-prod_binary64_14214`
12×	`associate-l_binary64_14124`
11×	`frac-times_binary64_14193` `pow1_binary64_14244`
10×	`cbrt-undiv_binary64_14217`
8×	`associate-*r/_binary64_14125`
7×	`associate-*l/_binary64_14126`
6×	`flip--_binary64_14158` `flip3--_binary64_14187` `1-exp_binary64_14227`
4×	`pow-prod-down_binary64_14254` `add-log-exp_binary64_14222`
3×	`unswap-sqr_binary64_14151`
2×	`pow1/3_binary64_14265` `div-inv_binary64_14180` `*-commutative_binary64_14114`
1×	`difference-of-squares_binary64_14152` `distribute-lft-out--_binary64_14135`

Counts

4 → 123

Calls

4 calls:

17.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1) (*.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) y)))
14.0ms	(*.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) y))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series704.0ms (14.7%)

Counts

4 → 12

Calls

4 calls:

194.0ms	(*.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) y))
191.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1) (*.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) y)))
171.0ms	(cbrt.f64 x)
148.0ms	(cbrt.f64 x)

simplify48.0ms (1%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5007	1769

prune117.0ms (2.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	134	1	135
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	135	7	142

Merged error: 0.0b

Counts

142 → 7

Compiler

Compiled 2807 to 884 computations (68.5% saved)

regimes76.0ms (1.6%)

Compiler: Compiled 589 to 427 computations (27.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	46	19
1	46	19

end0.0ms (0%)

sample746.0ms (15.6%)

Algorithm

1×

intervals

Results

255.0ms	8000×	body	128	valid
73.0ms	2147×	body	128	invalid

Compiler

Compiled 173 to 116 computations (32.9% saved)

Details

analyze610.0ms (12.7%)

sample20.0ms (0.4%)

simplify213.0ms (4.4%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite30.0ms (0.6%)

series203.0ms (4.2%)

simplify62.0ms (1.3%)

prune173.0ms (3.6%)

localize9.0ms (0.2%)

rewrite47.0ms (1%)

series267.0ms (5.6%)

simplify62.0ms (1.3%)

prune98.0ms (2%)

localize11.0ms (0.2%)

rewrite43.0ms (0.9%)

series1.0s (21.2%)

simplify60.0ms (1.3%)

prune101.0ms (2.1%)

localize12.0ms (0.3%)

rewrite51.0ms (1.1%)

series704.0ms (14.7%)

simplify48.0ms (1%)

prune117.0ms (2.4%)

regimes76.0ms (1.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample746.0ms (15.6%)

Profiling