Details

analyze1.0s (22.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4968	91
1	4968	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
16.4%	83.4%	0.2%	9
21.4%	78.4%	0.2%	10
25.9%	73.3%	0.8%	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)

sample21.0ms (0.5%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	70×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify54.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	734	13
1	734	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

Error

5.2b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
0.0b	(*.f64 y (-.f64 z x))
5.6b	(/.f64 (*.f64 y (-.f64 z x)) t)

rewrite29.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64_7921` `add-sqr-sqrt_binary64_7943`
10×	`add-cbrt-cube_binary64_7957` `add-exp-log_binary64_7959`
9×	`add-cube-cbrt_binary64_7956`
6×	`cancel-sign-sub-inv_binary64_7887`
5×	`associate-r_binary64_7861` `add-log-exp_binary64_7960` `pow1_binary64_7982`
4×	`distribute-lft-in_binary64_7870` `distribute-rgt-in_binary64_7871` `associate-*r/_binary64_7863`
3×	`times-frac_binary64_7927` `associate-l_binary64_7862` `associate-/r*_binary64_7865`
2×	`flip3--_binary64_7925` `prod-exp_binary64_7970` `sub-neg_binary64_7914` `cbrt-unprod_binary64_7954` `div-exp_binary64_7972` `associate-/l/_binary64_7868` `cbrt-undiv_binary64_7955` `flip--_binary64_7896`
1×	`distribute-lft-out--_binary64_7873` `+-commutative_binary64_7851` `clear-num_binary64_7920` `distribute-lft-out_binary64_7872` `unswap-sqr_binary64_7889` `frac-2neg_binary64_7932` `difference-of-squares_binary64_7890` `-commutative_binary64_7852` `associate-/l_binary64_7866` `flip3-+_binary64_7924` `sum-log_binary64_8012` `flip-+_binary64_7895` `div-inv_binary64_7918` `pow-prod-down_binary64_7992`

Counts

3 → 65

Calls

3 calls:

8.0ms	(/.f64 (*.f64 y (-.f64 z x)) t)
7.0ms	(*.f64 y (-.f64 z x))
5.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))

series126.0ms (2.7%)

Counts

3 → 9

Calls

3 calls:

54.0ms	(/.f64 (*.f64 y (-.f64 z x)) t)
41.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
31.0ms	(*.f64 y (-.f64 z x))

simplify53.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5423	909

prune64.0ms (1.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	66	8	74
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	66	9	75

Error

0.0b

Counts

75 → 9

Compiler

Compiled 1116 to 308 computations (72.4% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
4.6b	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (-.f64 z x) (cbrt.f64 t)))

rewrite37.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`add-sqr-sqrt_binary64_7943`
40×	`times-frac_binary64_7927`
38×	`*-un-lft-identity_binary64_7921`
34×	`associate-r_binary64_7861`
26×	`add-cube-cbrt_binary64_7956` `cbrt-prod_binary64_7952`
25×	`add-exp-log_binary64_7959`
18×	`add-cbrt-cube_binary64_7957`
8×	`prod-exp_binary64_7970` `cbrt-unprod_binary64_7954`
7×	`associate-l_binary64_7862` `div-exp_binary64_7972` `cbrt-undiv_binary64_7955`
6×	`distribute-lft-out--_binary64_7873` `unswap-sqr_binary64_7889` `difference-of-squares_binary64_7890` `pow1_binary64_7982`
4×	`add-log-exp_binary64_7960`
3×	`pow1/3_binary64_8003`
2×	`div-inv_binary64_7918`
1×	`frac-times_binary64_7931` `associate-r/_binary64_7863` `associate-l/_binary64_7864` `*-commutative_binary64_7852` `pow-prod-down_binary64_7992`

Counts

4 → 104

Calls

4 calls:

24.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (-.f64 z x) (cbrt.f64 t)))
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

series371.0ms (8.1%)

Counts

4 → 12

Calls

4 calls:

124.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (-.f64 z x) (cbrt.f64 t)))
85.0ms	(cbrt.f64 t)
85.0ms	(cbrt.f64 t)
77.0ms	(cbrt.f64 t)

simplify107.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4939	1657
1	4939	1657

prune101.0ms (2.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	113	3	116
Fresh	4	3	7
Picked	1	0	1
Done	0	1	1
Total	118	7	125

Error

0.0b

Counts

125 → 7

Compiler

Compiled 2370 to 709 computations (70.1% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (/.f64 y t) (-.f64 (/.f64 x -1) (/.f64 z -1))))
5.9b	(*.f64 (/.f64 y t) (-.f64 (/.f64 x -1) (/.f64 z -1)))

rewrite51.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

57×	`add-sqr-sqrt_binary64_7943`
56×	`times-frac_binary64_7927`
52×	`cancel-sign-sub-inv_binary64_7887`
48×	`*-un-lft-identity_binary64_7921`
40×	`add-cube-cbrt_binary64_7956`
28×	`distribute-lft-in_binary64_7870` `distribute-rgt-in_binary64_7871` `associate-+r+_binary64_7853`
13×	`associate-l_binary64_7862`
12×	`associate-r_binary64_7861`
7×	`add-cbrt-cube_binary64_7957` `add-exp-log_binary64_7959` `div-inv_binary64_7918`
4×	`distribute-lft-out--_binary64_7873` `add-log-exp_binary64_7960` `frac-times_binary64_7931` `sub-neg_binary64_7914` `associate-*r/_binary64_7863` `difference-of-squares_binary64_7890` `pow1_binary64_7982`
2×	`flip3--_binary64_7925` `unswap-sqr_binary64_7889` `prod-exp_binary64_7970` `cbrt-unprod_binary64_7954` `flip--_binary64_7896` `sub-div_binary64_7928` `frac-sub_binary64_7930`
1×	`+-commutative_binary64_7851` `associate-l/_binary64_7864` `div-exp_binary64_7972` `-commutative_binary64_7852` `cbrt-undiv_binary64_7955` `flip3-+_binary64_7924` `sum-log_binary64_8012` `flip-+_binary64_7895` `pow-prod-down_binary64_7992` `distribute-rgt-out--_binary64_7875`

Counts

2 → 116

Calls

2 calls:

26.0ms	(*.f64 (/.f64 y t) (-.f64 (/.f64 x -1) (/.f64 z -1)))
12.0ms	(+.f64 x (*.f64 (/.f64 y t) (-.f64 (/.f64 x -1) (/.f64 z -1))))

series97.0ms (2.1%)

Counts

2 → 6

Calls

2 calls:

57.0ms	(*.f64 (/.f64 y t) (-.f64 (/.f64 x -1) (/.f64 z -1)))
40.0ms	(+.f64 x (*.f64 (/.f64 y t) (-.f64 (/.f64 x -1) (/.f64 z -1))))

simplify71.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5005	2112

prune121.0ms (2.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	121	8	129

Error

Counts

129 → 8

Compiler

Compiled 2514 to 1314 computations (47.7% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
4.6b	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (.f64 (.f64 (cbrt.f64 (cbrt.f64 t)) (cbrt.f64 (cbrt.f64 t))) (cbrt.f64 (cbrt.f64 t))))) (/.f64 (-.f64 z x) (cbrt.f64 t)))

rewrite52.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`add-exp-log_binary64_7959`
46×	`add-sqr-sqrt_binary64_7943`
38×	`*-un-lft-identity_binary64_7921`
35×	`times-frac_binary64_7927`
34×	`associate-r_binary64_7861`
30×	`add-cbrt-cube_binary64_7957`
26×	`add-cube-cbrt_binary64_7956`
25×	`cbrt-prod_binary64_7952`
22×	`prod-exp_binary64_7970` `cbrt-unprod_binary64_7954`
13×	`div-exp_binary64_7972` `cbrt-undiv_binary64_7955`
7×	`associate-l_binary64_7862`
6×	`distribute-lft-out--_binary64_7873` `difference-of-squares_binary64_7890` `pow1_binary64_7982`
4×	`add-log-exp_binary64_7960`
3×	`unswap-sqr_binary64_7889` `pow1/3_binary64_8003`
2×	`div-inv_binary64_7918`
1×	`frac-times_binary64_7931` `associate-r/_binary64_7863` `associate-l/_binary64_7864` `*-commutative_binary64_7852` `pow-prod-down_binary64_7992`

Counts

4 → 109

Calls

4 calls:

34.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (.f64 (.f64 (cbrt.f64 (cbrt.f64 t)) (cbrt.f64 (cbrt.f64 t))) (cbrt.f64 (cbrt.f64 t))))) (/.f64 (-.f64 z x) (cbrt.f64 t)))
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

series586.0ms (12.8%)

Counts

4 → 12

Calls

4 calls:

341.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (.f64 (.f64 (cbrt.f64 (cbrt.f64 t)) (cbrt.f64 (cbrt.f64 t))) (cbrt.f64 (cbrt.f64 t))))) (/.f64 (-.f64 z x) (cbrt.f64 t)))
85.0ms	(cbrt.f64 t)
82.0ms	(cbrt.f64 t)
77.0ms	(cbrt.f64 t)

simplify91.0ms (2%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4976	1548
1	4976	1548

prune100.0ms (2.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	121	8	129

Error

Counts

129 → 8

Compiler

Compiled 2674 to 726 computations (72.8% saved)

regimes286.0ms (6.3%)

Accuracy

Total 1.4b remaining (99.8%)

Threshold costs 0b (0%)

Compiler

Compiled 2226 to 1558 computations (30% saved)

bsearch2.0ms (0%)

Compiler: Compiled 9 to 8 computations (11.1% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	75
1	37	75

end0.0ms (0%)

sample1.1s (23.4%)

Algorithm

1×

intervals

Results

277.0ms	8000×	body	128	valid
70.0ms	2038×	body	128	invalid

Compiler

Compiled 515 to 345 computations (33% saved)

Details

analyze1.0s (22.7%)

sample21.0ms (0.5%)

simplify54.0ms (1.2%)

prune2.0ms (0%)

localize7.0ms (0.2%)

rewrite29.0ms (0.6%)

series126.0ms (2.7%)

simplify53.0ms (1.2%)

prune64.0ms (1.4%)

localize10.0ms (0.2%)

rewrite37.0ms (0.8%)

series371.0ms (8.1%)

simplify107.0ms (2.3%)

prune101.0ms (2.2%)

localize9.0ms (0.2%)

rewrite51.0ms (1.1%)

series97.0ms (2.1%)

simplify71.0ms (1.6%)

prune121.0ms (2.6%)

localize15.0ms (0.3%)

rewrite52.0ms (1.1%)

series586.0ms (12.8%)

simplify91.0ms (2%)

prune100.0ms (2.2%)

regimes286.0ms (6.3%)

bsearch2.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.1s (23.4%)

Profiling