Details

analyze1.7s (18.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5039	616
0	7	7
1	7	7

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
0%	99.7%	0.3%	13
0%	99.7%	0.3%	14

Compiler

Compiled 20 to 19 computations (5% saved)

sample56.0ms (0.6%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
9.0ms	160×	body	128	invalid

Compiler

Compiled 39 to 44 computations (-12.8% saved)

simplify65.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4917	25
1	4917	25

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

7.0b

Counts

2 → 2

Compiler

Compiled 53 to 52 computations (1.9% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 x 9) y) b)
0.4b	(.f64 (.f64 x 9) y)
2.9b	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
9.4b	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)

rewrite45.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64_17469` `add-cube-cbrt_binary64_17504` `add-sqr-sqrt_binary64_17491`
18×	`times-frac_binary64_17475`
13×	`add-exp-log_binary64_17507` `add-cbrt-cube_binary64_17505`
9×	`pow1_binary64_17530`
6×	`associate-/l_binary64_17414` `associate-/r_binary64_17413` `add-log-exp_binary64_17508`
4×	`associate-/l/_binary64_17416`
3×	`flip3-+_binary64_17472` `flip-+_binary64_17443` `prod-exp_binary64_17518` `pow-prod-down_binary64_17540` `cbrt-unprod_binary64_17502` `associate-r_binary64_17409`
2×	`frac-2neg_binary64_17480` `clear-num_binary64_17468` `div-exp_binary64_17520` `cbrt-undiv_binary64_17503` `div-inv_binary64_17466`
1×	`-commutative_binary64_17400` `associate-l*_binary64_17410` `+-commutative_binary64_17399` `sum-log_binary64_17560`

Counts

4 → 87

Calls

4 calls:

13.0ms	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)
8.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
6.0ms	(+.f64 (.f64 (.f64 x 9) y) b)
5.0ms	(.f64 (.f64 x 9) y)

series249.0ms (2.7%)

Counts

4 → 12

Calls

4 calls:

153.0ms	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)
56.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
24.0ms	(+.f64 (.f64 (.f64 x 9) y) b)
15.0ms	(.f64 (.f64 x 9) y)

simplify62.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5016	2177

prune153.0ms (1.7%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	86	13	99
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	87	14	101

Error

6.4b

Counts

101 → 14

Compiler

Compiled 2891 to 1733 computations (40.1% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 9 (/.f64 (.f64 x y) (*.f64 z c)))
3.9b	(/.f64 (*.f64 t a) c)
5.9b	(/.f64 b (*.f64 z c))
11.5b	(/.f64 (.f64 x y) (.f64 z c))

rewrite34.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`add-exp-log_binary64_17507` `add-cbrt-cube_binary64_17505`
15×	`prod-exp_binary64_17518` `cbrt-unprod_binary64_17502`
12×	`div-exp_binary64_17520` `cbrt-undiv_binary64_17503` `add-sqr-sqrt_binary64_17491`
10×	`*-un-lft-identity_binary64_17469` `add-cube-cbrt_binary64_17504`
8×	`times-frac_binary64_17475`
6×	`pow1_binary64_17530`
5×	`associate-/l_binary64_17414` `associate-/r_binary64_17413` `associate-r_binary64_17409`
4×	`add-log-exp_binary64_17508` `div-inv_binary64_17466`
3×	`associate-l_binary64_17410` `frac-2neg_binary64_17480` `clear-num_binary64_17468`
1×	`-commutative_binary64_17400` `associate-r/_binary64_17411` `unswap-sqr_binary64_17437` `pow-prod-down_binary64_17540`

Counts

4 → 92

Calls

4 calls:

9.0ms	(.f64 9 (/.f64 (.f64 x y) (*.f64 z c)))
7.0ms	(/.f64 (*.f64 t a) c)
6.0ms	(/.f64 (.f64 x y) (.f64 z c))
4.0ms	(/.f64 b (*.f64 z c))

series106.0ms (1.2%)

Counts

4 → 12

Calls

4 calls:

38.0ms	(.f64 9 (/.f64 (.f64 x y) (*.f64 z c)))
30.0ms	(/.f64 (.f64 x y) (.f64 z c))
19.0ms	(/.f64 b (*.f64 z c))
18.0ms	(/.f64 (*.f64 t a) c)

simplify79.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4965	1189
1	4965	1189

prune131.0ms (1.4%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	96	8	104
Fresh	4	9	13
Picked	1	0	1
Done	0	0	0
Total	101	17	118

Error

0.5b

Counts

118 → 17

Compiler

Compiled 3204 to 1239 computations (61.3% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.9b	(/.f64 (*.f64 t a) c)
5.3b	(/.f64 z (/.f64 y c))
5.8b	(/.f64 x (/.f64 z (/.f64 y c)))
5.9b	(/.f64 b (*.f64 z c))

rewrite82.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

477×	`times-frac_binary64_17475`
235×	`*-un-lft-identity_binary64_17469` `add-cube-cbrt_binary64_17504` `add-sqr-sqrt_binary64_17491`
61×	`associate-/r*_binary64_17413`
28×	`add-exp-log_binary64_17507` `add-cbrt-cube_binary64_17505`
24×	`div-inv_binary64_17466`
13×	`div-exp_binary64_17520` `cbrt-undiv_binary64_17503`
10×	`associate-/l*_binary64_17414`
6×	`associate-/r/_binary64_17415`
4×	`frac-2neg_binary64_17480` `clear-num_binary64_17468` `add-log-exp_binary64_17508` `pow1_binary64_17530`
2×	`prod-exp_binary64_17518` `cbrt-unprod_binary64_17502`

Counts

4 → 308

Calls

4 calls:

18.0ms	(/.f64 x (/.f64 z (/.f64 y c)))
6.0ms	(/.f64 z (/.f64 y c))
4.0ms	(/.f64 b (*.f64 z c))
4.0ms	(/.f64 (*.f64 t a) c)

series90.0ms (1%)

Counts

4 → 12

Calls

4 calls:

29.0ms	(/.f64 x (/.f64 z (/.f64 y c)))
22.0ms	(/.f64 z (/.f64 y c))
19.0ms	(/.f64 b (*.f64 z c))
19.0ms	(/.f64 (*.f64 t a) c)

simplify143.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

320 → 320

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4996	6617
1	4996	6617

prune377.0ms (4.1%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	316	4	320
Fresh	4	12	16
Picked	1	0	1
Done	0	0	0
Total	321	16	337

Error

Counts

337 → 16

Compiler

Compiled 10769 to 3161 computations (70.6% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

5.3b	(/.f64 z (/.f64 y c))
5.8b	(/.f64 x (/.f64 z (/.f64 y c)))
5.8b	(/.f64 t (/.f64 c a))
5.9b	(/.f64 b (*.f64 z c))

rewrite81.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

549×	`times-frac_binary64_17475`
275×	`*-un-lft-identity_binary64_17469` `add-cube-cbrt_binary64_17504` `add-sqr-sqrt_binary64_17491`
71×	`associate-/r*_binary64_17413`
28×	`add-exp-log_binary64_17507` `div-inv_binary64_17466` `add-cbrt-cube_binary64_17505`
14×	`div-exp_binary64_17520` `cbrt-undiv_binary64_17503`
12×	`associate-/l*_binary64_17414`
7×	`associate-/r/_binary64_17415`
4×	`frac-2neg_binary64_17480` `clear-num_binary64_17468` `add-log-exp_binary64_17508` `pow1_binary64_17530`
1×	`prod-exp_binary64_17518` `cbrt-unprod_binary64_17502`

Counts

4 → 357

Calls

4 calls:

16.0ms	(/.f64 x (/.f64 z (/.f64 y c)))
7.0ms	(/.f64 z (/.f64 y c))
6.0ms	(/.f64 t (/.f64 c a))
4.0ms	(/.f64 b (*.f64 z c))

series102.0ms (1.1%)

Counts

4 → 12

Calls

4 calls:

32.0ms	(/.f64 t (/.f64 c a))
29.0ms	(/.f64 x (/.f64 z (/.f64 y c)))
22.0ms	(/.f64 b (*.f64 z c))
20.0ms	(/.f64 z (/.f64 y c))

simplify112.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

369 → 369

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5029	7606

prune401.0ms (4.4%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	369	0	369
Fresh	0	15	15
Picked	0	1	1
Done	0	0	0
Total	369	16	385

Error

Counts

385 → 16

Compiler

Compiled 11927 to 3220 computations (73% saved)

regimes2.3s (24.7%)

Accuracy

Total 5.7b remaining (99.7%)

Threshold costs 0b (0%)

Compiler

Compiled 17302 to 14276 computations (17.5% saved)

bsearch4.0ms (0%)

Compiler: Compiled 19 to 18 computations (5.3% saved)

simplify26.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	179	220
1	179	220

Compiler

Compiled 592 to 356 computations (39.9% saved)

end0.0ms (0%)

sample2.7s (29.8%)

Algorithm

1×

intervals

Results

492.0ms	8000×	body	128	valid
288.0ms	4812×	body	128	invalid

Compiler

Compiled 1942 to 1506 computations (22.5% saved)

Details

analyze1.7s (18.6%)

sample56.0ms (0.6%)

simplify65.0ms (0.7%)

prune5.0ms (0.1%)

localize13.0ms (0.1%)

rewrite45.0ms (0.5%)

series249.0ms (2.7%)

simplify62.0ms (0.7%)

prune153.0ms (1.7%)

localize15.0ms (0.2%)

rewrite34.0ms (0.4%)

series106.0ms (1.2%)

simplify79.0ms (0.9%)

prune131.0ms (1.4%)

localize17.0ms (0.2%)

rewrite82.0ms (0.9%)

series90.0ms (1%)

simplify143.0ms (1.6%)

prune377.0ms (4.1%)

localize16.0ms (0.2%)

rewrite81.0ms (0.9%)

series102.0ms (1.1%)

simplify112.0ms (1.2%)

prune401.0ms (4.4%)

regimes2.3s (24.7%)

bsearch4.0ms (0%)

simplify26.0ms (0.3%)

end0.0ms (0%)

sample2.7s (29.8%)

Profiling