Details

analyze999.0ms (25.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4984	91
1	4984	91
0	4	4
1	4	4

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
17.2%	82.7%	0.2%	9
22.6%	77.2%	0.2%	10
25.7%	74.1%	0.2%	11
28.3%	69.9%	1.9%	12
40.1%	55.3%	4.6%	13
44.4%	49.9%	5.8%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample21.0ms (0.5%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	78×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify58.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	734	13
1	734	13

prune3.0ms (0.1%)

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

Error

0.6b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
4.9b	(*.f64 (-.f64 y x) (/.f64 z t))

rewrite17.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_18173`
13×	`associate-r_binary64_18091`
12×	`*-un-lft-identity_binary64_18151`
10×	`times-frac_binary64_18157` `add-cube-cbrt_binary64_18186`
7×	`add-cbrt-cube_binary64_18187` `add-exp-log_binary64_18189`
5×	`associate-l_binary64_18092`
4×	`pow1_binary64_18212` `add-log-exp_binary64_18190`
2×	`flip3--_binary64_18155` `associate-*l/_binary64_18094` `unswap-sqr_binary64_18119` `flip--_binary64_18126` `frac-times_binary64_18161` `prod-exp_binary64_18200` `cbrt-unprod_binary64_18184`
1×	`div-exp_binary64_18202` `div-inv_binary64_18148` `associate-r/_binary64_18093` `pow-prod-down_binary64_18222` `-commutative_binary64_18082` `flip-+_binary64_18125` `+-commutative_binary64_18081` `distribute-lft-out--_binary64_18103` `sum-log_binary64_18242` `difference-of-squares_binary64_18120` `cbrt-undiv_binary64_18185` `flip3-+_binary64_18154`

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)))

series98.0ms (2.5%)

Counts

2 → 6

Calls

2 calls:

51.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
47.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

simplify73.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5403	832

prune259.0ms (6.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	48	7	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	8	56

Error

0.0b

Counts

56 → 8

Compiler

Compiled 935 to 270 computations (71.1% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
1.0b	(.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))

rewrite26.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-exp-log_binary64_18189`
14×	`add-cbrt-cube_binary64_18187` `add-sqr-sqrt_binary64_18173`
11×	`*-un-lft-identity_binary64_18151`
9×	`cbrt-prod_binary64_18182` `add-cube-cbrt_binary64_18186` `prod-exp_binary64_18200` `cbrt-unprod_binary64_18184`
6×	`pow1_binary64_18212`
5×	`associate-r_binary64_18091` `associate-l_binary64_18092`
4×	`div-exp_binary64_18202` `add-log-exp_binary64_18190` `cbrt-undiv_binary64_18185`
3×	`pow1/3_binary64_18233`
2×	`flip3--_binary64_18155` `associate-*l/_binary64_18094` `unswap-sqr_binary64_18119` `times-frac_binary64_18157` `flip--_binary64_18126` `frac-times_binary64_18161`
1×	`div-inv_binary64_18148` `associate-r/_binary64_18093` `pow-prod-down_binary64_18222` `-commutative_binary64_18082` `distribute-lft-out--_binary64_18103` `difference-of-squares_binary64_18120`

Counts

4 → 69

Calls

4 calls:

15.0ms	(.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

series423.0ms (10.7%)

Counts

4 → 12

Calls

4 calls:

153.0ms	(.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))
99.0ms	(cbrt.f64 t)
89.0ms	(cbrt.f64 t)
82.0ms	(cbrt.f64 t)

simplify41.0ms (1%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5317	1111

prune81.0ms (2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	81	8	89

Error

0.0b

Counts

89 → 8

Compiler

Compiled 2214 to 602 computations (72.8% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 y x) z)
0.0b	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
3.5b	(/.f64 (*.f64 (-.f64 y x) z) t)

rewrite22.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64_18151` `add-sqr-sqrt_binary64_18173`
10×	`add-cbrt-cube_binary64_18187` `add-exp-log_binary64_18189`
7×	`add-cube-cbrt_binary64_18186`
5×	`pow1_binary64_18212` `add-log-exp_binary64_18190` `associate-l_binary64_18092`
4×	`associate-*l/_binary64_18094`
3×	`associate-r_binary64_18091` `times-frac_binary64_18157` `associate-/r*_binary64_18095`
2×	`div-exp_binary64_18202` `flip3--_binary64_18155` `associate-/l/_binary64_18098` `flip--_binary64_18126` `prod-exp_binary64_18200` `cbrt-unprod_binary64_18184` `cbrt-undiv_binary64_18185`
1×	`div-inv_binary64_18148` `distribute-lft-out_binary64_18102` `associate-/l_binary64_18096` `unswap-sqr_binary64_18119` `pow-prod-down_binary64_18222` `-commutative_binary64_18082` `flip-+_binary64_18125` `+-commutative_binary64_18081` `distribute-lft-out--_binary64_18103` `clear-num_binary64_18150` `sum-log_binary64_18242` `frac-2neg_binary64_18162` `difference-of-squares_binary64_18120` `flip3-+_binary64_18154`

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))

series124.0ms (3.1%)

Counts

3 → 9

Calls

3 calls:

51.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)
43.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
30.0ms	(*.f64 (-.f64 y x) z)

simplify72.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4990	824
1	4990	824

prune50.0ms (1.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	3	2	5
Picked	1	0	1
Done	0	2	2
Total	68	6	74

Error

Counts

74 → 6

Compiler

Compiled 954 to 267 computations (72% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
5.2b	(/.f64 (-.f64 y x) (/.f64 t z))

rewrite40.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

119×	`times-frac_binary64_18157`
88×	`*-un-lft-identity_binary64_18151`
86×	`add-sqr-sqrt_binary64_18173`
58×	`add-cube-cbrt_binary64_18186`
14×	`distribute-lft-out--_binary64_18103` `difference-of-squares_binary64_18120`
13×	`associate-/r*_binary64_18095`
7×	`div-inv_binary64_18148` `add-cbrt-cube_binary64_18187` `add-exp-log_binary64_18189`
5×	`associate-/l*_binary64_18096`
4×	`add-log-exp_binary64_18190`
3×	`div-exp_binary64_18202` `cbrt-undiv_binary64_18185`
2×	`pow1_binary64_18212` `associate-/l/_binary64_18098` `div-sub_binary64_18156`
1×	`flip3--_binary64_18155` `distribute-lft-out_binary64_18102` `flip-+_binary64_18125` `+-commutative_binary64_18081` `flip--_binary64_18126` `clear-num_binary64_18150` `sum-log_binary64_18242` `associate-+r-_binary64_18085` `associate-/r/_binary64_18097` `frac-2neg_binary64_18162` `flip3-+_binary64_18154`

Counts

2 → 114

Calls

2 calls:

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

series99.0ms (2.5%)

Counts

2 → 6

Calls

2 calls:

55.0ms	(/.f64 (-.f64 y x) (/.f64 t z))
44.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))

simplify94.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	6600	2589

prune80.0ms (2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	1	2	3
Picked	0	1	1
Done	1	1	2
Total	121	5	126

Error

Counts

126 → 5

Compiler

Compiled 2141 to 402 computations (81.2% saved)

regimes276.0ms (7%)

Accuracy

Total 1.8b remaining (99.9%)

Threshold costs 0b (0%)

Compiler

Compiled 2536 to 1796 computations (29.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	13
1	20	13

end0.0ms (0%)

sample967.0ms (24.4%)

Algorithm

1×

intervals

Results

259.0ms	8000×	body	128	valid
61.0ms	2006×	body	128	invalid

Compiler

Compiled 459 to 313 computations (31.8% saved)

Details

analyze999.0ms (25.2%)

sample21.0ms (0.5%)

simplify58.0ms (1.5%)

prune3.0ms (0.1%)

localize7.0ms (0.2%)

rewrite17.0ms (0.4%)

series98.0ms (2.5%)

simplify73.0ms (1.8%)

prune259.0ms (6.5%)

localize15.0ms (0.4%)

rewrite26.0ms (0.6%)

series423.0ms (10.7%)

simplify41.0ms (1%)

prune81.0ms (2%)

localize7.0ms (0.2%)

rewrite22.0ms (0.6%)

series124.0ms (3.1%)

simplify72.0ms (1.8%)

prune50.0ms (1.3%)

localize7.0ms (0.2%)

rewrite40.0ms (1%)

series99.0ms (2.5%)

simplify94.0ms (2.4%)

prune80.0ms (2%)

regimes276.0ms (7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample967.0ms (24.4%)

Profiling