Details

analyze1.4s (37%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4620	154
1	4620	154
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
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
0%	99.8%	0.2%	11
0%	99.8%	0.2%	12
3.7%	96.1%	0.2%	13
4.2%	94.5%	1.3%	14

Compiler

Compiled 18 to 16 computations (11.1% saved)

sample27.0ms (0.7%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
4.0ms	83×	body	128	invalid

Compiler

Compiled 35 to 35 computations (0% saved)

simplify96.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4889	19
1	4889	19

prune5.0ms (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

0.0b

Counts

2 → 2

Compiler

Compiled 43 to 41 computations (4.7% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.1b	(/.f64 (+.f64 2 (/.f64 2 z)) t)

rewrite16.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64_25312`
12×	`times-frac_binary64_25318`
10×	`add-sqr-sqrt_binary64_25334` `add-cube-cbrt_binary64_25347`
4×	`associate-/l*_binary64_25257` `distribute-lft-out_binary64_25263`
3×	`add-cbrt-cube_binary64_25348` `add-exp-log_binary64_25350` `associate-/r*_binary64_25256`
2×	`associate-/l/_binary64_25259`
1×	`flip3-+_binary64_25315` `cbrt-undiv_binary64_25346` `flip-+_binary64_25286` `add-log-exp_binary64_25351` `div-inv_binary64_25309` `clear-num_binary64_25311` `div-exp_binary64_25363` `pow1_binary64_25373` `frac-2neg_binary64_25323`

Counts

1 → 33

Calls

1 calls:

13.0ms

(/.f64 (+.f64 2 (/.f64 2 z)) t)

series23.0ms (0.6%)

Counts

1 → 3

Calls

1 calls:

23.0ms

(/.f64 (+.f64 2 (/.f64 2 z)) t)

simplify54.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4969	594
1	4969	594

prune49.0ms (1.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	31	5	36
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	33	5	38

Error

Counts

38 → 5

Compiler

Compiled 811 to 560 computations (30.9% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (/.f64 2 t) (/.f64 2 (*.f64 z t)))
0.7b	(/.f64 2 (*.f64 z t))

rewrite17.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`*-un-lft-identity_binary64_25312`
11×	`times-frac_binary64_25318`
7×	`add-cbrt-cube_binary64_25348` `add-exp-log_binary64_25350`
6×	`add-sqr-sqrt_binary64_25334` `add-cube-cbrt_binary64_25347`
4×	`add-log-exp_binary64_25351` `distribute-rgt-out_binary64_25265`
3×	`associate-/l*_binary64_25257` `div-inv_binary64_25309`
2×	`cbrt-undiv_binary64_25346` `distribute-lft-out_binary64_25263` `div-exp_binary64_25363` `pow1_binary64_25373`
1×	`+-commutative_binary64_25242` `flip3-+_binary64_25315` `flip-+_binary64_25286` `distribute-rgt1-in_binary64_25268` `frac-add_binary64_25320` `cbrt-unprod_binary64_25345` `clear-num_binary64_25311` `sum-log_binary64_25403` `prod-exp_binary64_25361` `frac-2neg_binary64_25323` `associate-/r*_binary64_25256`

Counts

2 → 40

Calls

2 calls:

10.0ms	(+.f64 (/.f64 2 t) (/.f64 2 (*.f64 z t)))
4.0ms	(/.f64 2 (*.f64 z t))

series43.0ms (1.1%)

Counts

2 → 6

Calls

2 calls:

27.0ms	(+.f64 (/.f64 2 t) (/.f64 2 (*.f64 z t)))
15.0ms	(/.f64 2 (*.f64 z t))

simplify68.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4995	571
1	4995	571

prune53.0ms (1.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	46	5	51

Error

Counts

51 → 5

Compiler

Compiled 953 to 611 computations (35.9% saved)

localize14.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.2b	(*.f64 (+.f64 2 (/.f64 2 z)) (/.f64 1 t))

rewrite17.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_25334`
13×	`associate-r_binary64_25252`
12×	`*-un-lft-identity_binary64_25312`
11×	`times-frac_binary64_25318`
10×	`add-exp-log_binary64_25350`
9×	`add-cube-cbrt_binary64_25347`
6×	`add-cbrt-cube_binary64_25348`
4×	`associate-l_binary64_25253` `prod-exp_binary64_25361`
3×	`unswap-sqr_binary64_25280` `pow1_binary64_25373`
2×	`flip3-+_binary64_25315` `flip-+_binary64_25286` `associate-*l/_binary64_25255` `cbrt-unprod_binary64_25345` `div-exp_binary64_25363` `frac-times_binary64_25322`
1×	`-commutative_binary64_25243` `cbrt-undiv_binary64_25346` `rec-exp_binary64_25362` `un-div-inv_binary64_25310` `distribute-lft-out_binary64_25263` `add-log-exp_binary64_25351` `div-inv_binary64_25309` `associate-r/_binary64_25254` `1-exp_binary64_25356` `pow-prod-down_binary64_25383`

Counts

1 → 41

Calls

1 calls:

13.0ms

(*.f64 (+.f64 2 (/.f64 2 z)) (/.f64 1 t))

series23.0ms (0.6%)

Counts

1 → 3

Calls

1 calls:

23.0ms

(*.f64 (+.f64 2 (/.f64 2 z)) (/.f64 1 t))

simplify84.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4973	616
1	4973	616

prune49.0ms (1.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	44	5	49

Error

Counts

49 → 5

Compiler

Compiled 917 to 640 computations (30.2% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (.f64 (cbrt.f64 (+.f64 2 (/.f64 2 z))) (cbrt.f64 (+.f64 2 (/.f64 2 z)))) (/.f64 (cbrt.f64 (+.f64 2 (/.f64 2 z))) t))
0.8b	(cbrt.f64 (+.f64 2 (/.f64 2 z)))
0.8b	(cbrt.f64 (+.f64 2 (/.f64 2 z)))
0.8b	(cbrt.f64 (+.f64 2 (/.f64 2 z)))

rewrite64.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`*-un-lft-identity_binary64_25312`
30×	`cbrt-div_binary64_25344`
26×	`add-sqr-sqrt_binary64_25334`
25×	`associate-r_binary64_25252` `cbrt-prod_binary64_25343`
23×	`times-frac_binary64_25318`
21×	`add-cube-cbrt_binary64_25347`
16×	`add-exp-log_binary64_25350` `frac-times_binary64_25322`
15×	`flip3-+_binary64_25315` `flip-+_binary64_25286`
12×	`associate-*l/_binary64_25255`
10×	`add-cbrt-cube_binary64_25348`
9×	`pow1_binary64_25373`
6×	`distribute-lft-out_binary64_25263` `cbrt-unprod_binary64_25345` `prod-exp_binary64_25361`
5×	`associate-*r/_binary64_25254`
4×	`add-log-exp_binary64_25351`
3×	`pow1/3_binary64_25394` `pow-prod-down_binary64_25383` `unswap-sqr_binary64_25280`
2×	`cbrt-undiv_binary64_25346` `div-exp_binary64_25363`
1×	`-commutative_binary64_25243` `associate-l*_binary64_25253` `div-inv_binary64_25309`

Counts

4 → 106

Calls

4 calls:

33.0ms	(.f64 (.f64 (cbrt.f64 (+.f64 2 (/.f64 2 z))) (cbrt.f64 (+.f64 2 (/.f64 2 z)))) (/.f64 (cbrt.f64 (+.f64 2 (/.f64 2 z))) t))
6.0ms	(cbrt.f64 (+.f64 2 (/.f64 2 z)))
6.0ms	(cbrt.f64 (+.f64 2 (/.f64 2 z)))
6.0ms	(cbrt.f64 (+.f64 2 (/.f64 2 z)))

series95.0ms (2.5%)

Counts

4 → 12

Calls

4 calls:

26.0ms	(.f64 (.f64 (cbrt.f64 (+.f64 2 (/.f64 2 z))) (cbrt.f64 (+.f64 2 (/.f64 2 z)))) (/.f64 (cbrt.f64 (+.f64 2 (/.f64 2 z))) t))
23.0ms	(cbrt.f64 (+.f64 2 (/.f64 2 z)))
23.0ms	(cbrt.f64 (+.f64 2 (/.f64 2 z)))
22.0ms	(cbrt.f64 (+.f64 2 (/.f64 2 z)))

simplify88.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4946	2631
1	4946	2631

prune209.0ms (5.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	118	5	123

Error

Counts

123 → 5

Compiler

Compiled 3846 to 2883 computations (25% saved)

regimes192.0ms (5%)

Accuracy

Total 0.1b remaining (83.2%)

Threshold costs 0.1b (83.2%)

Compiler

Compiled 1775 to 1701 computations (4.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	19
1	16	19

end0.0ms (0%)

sample1.1s (28.5%)

Algorithm

1×

intervals

Results

389.0ms	8000×	body	128	valid
116.0ms	2352×	body	128	invalid

Compiler

Compiled 287 to 275 computations (4.2% saved)

Details

analyze1.4s (37%)

sample27.0ms (0.7%)

simplify96.0ms (2.5%)

prune5.0ms (0.1%)

localize9.0ms (0.2%)

rewrite16.0ms (0.4%)

series23.0ms (0.6%)

simplify54.0ms (1.4%)

prune49.0ms (1.3%)

localize10.0ms (0.3%)

rewrite17.0ms (0.4%)

series43.0ms (1.1%)

simplify68.0ms (1.8%)

prune53.0ms (1.4%)

localize14.0ms (0.4%)

rewrite17.0ms (0.4%)

series23.0ms (0.6%)

simplify84.0ms (2.2%)

prune49.0ms (1.3%)

localize14.0ms (0.4%)

rewrite64.0ms (1.7%)

series95.0ms (2.5%)

simplify88.0ms (2.3%)

prune209.0ms (5.5%)

regimes192.0ms (5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.1s (28.5%)

Profiling