Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample75.0ms (1.7%)

Algorithm

1×

intervals

Results

47.0ms	144×	body	1024	valid
11.0ms	60×	body	512	valid
7.0ms	14×	body	2048	valid
3.0ms	26×	body	256	valid
1.0ms	12×	body	128	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify256.0ms (5.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (156.0ms)

Iter	Nodes	Cost
0	5283	12

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

Merged error: 59.2b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
3.8b	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

rewrite25.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64_760`
52×	`add-sqr-sqrt_binary64_782`
48×	`times-frac_binary64_766`
30×	`log-prod_binary64_846`
25×	`add-cube-cbrt_binary64_795`
18×	`difference-of-squares_binary64_729`
13×	`distribute-lft-out_binary64_711`
9×	`distribute-lft-out--_binary64_712`
7×	`add-exp-log_binary64_798`
6×	`associate-/l*_binary64_705`
4×	`associate-/r/_binary64_706` `associate-/r*_binary64_704` `add-cbrt-cube_binary64_796`
3×	`pow1_binary64_821`
2×	`flip3-+_binary64_763` `associate-/l/_binary64_707` `add-log-exp_binary64_799` `div-inv_binary64_757` `flip-+_binary64_734` `rem-log-exp_binary64_801` `div-exp_binary64_811`
1×	`log-div_binary64_847` `frac-2neg_binary64_771` `cbrt-undiv_binary64_794` `log-pow_binary64_849` `div-sub_binary64_765` `clear-num_binary64_759` `flip--_binary64_735` `flip3--_binary64_764`

Counts

2 → 92

Calls

2 calls:

9.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
8.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

series40.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

28.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
12.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))

simplify73.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5713	1892

prune106.0ms (2.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	96	2	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	97	2	99

Merged error: 0.0b

Counts

99 → 2

Compiler

Compiled 1533 to 1178 computations (23.2% saved)

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 (pow.f64 eps 3) -2/3) (+.f64 (.f64 2/5 (pow.f64 eps 5)) (+.f64 eps eps)))
0.1b	(*.f64 2/5 (pow.f64 eps 5))
0.1b	(*.f64 (pow.f64 eps 3) -2/3)

rewrite31.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_782`
15×	`associate-l_binary64_701`
13×	`add-exp-log_binary64_798`
12×	`add-log-exp_binary64_799`
11×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
10×	`associate-r_binary64_700`
8×	`unpow-prod-down_binary64_839`
7×	`unswap-sqr_binary64_728` `add-cbrt-cube_binary64_796`
6×	`prod-exp_binary64_809`
4×	`sqr-pow_binary64_732` `cube-prod_binary64_788`
3×	`diff-log_binary64_852` `cancel-sign-sub-inv_binary64_726` `sum-log_binary64_851` `pow1_binary64_821`
2×	`pow-exp_binary64_828` `pow-to-exp_binary64_829` `cbrt-unprod_binary64_793` `*-commutative_binary64_691`
1×	`cube-mult_binary64_790` `unpow3_binary64_826` `associate--r+_binary64_696` `sub-neg_binary64_753` `flip--_binary64_735` `flip3--_binary64_764`

Counts

3 → 73

Calls

3 calls:

13.0ms	(-.f64 (.f64 (pow.f64 eps 3) -2/3) (+.f64 (.f64 2/5 (pow.f64 eps 5)) (+.f64 eps eps)))
6.0ms	(*.f64 (pow.f64 eps 3) -2/3)
6.0ms	(*.f64 2/5 (pow.f64 eps 5))

series88.0ms (2%)

Counts

3 → 9

Calls

3 calls:

31.0ms	(-.f64 (.f64 (pow.f64 eps 3) -2/3) (+.f64 (.f64 2/5 (pow.f64 eps 5)) (+.f64 eps eps)))
30.0ms	(*.f64 2/5 (pow.f64 eps 5))
26.0ms	(*.f64 (pow.f64 eps 3) -2/3)

simplify51.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5156	1124

prune97.0ms (2.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	80	2	82
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	81	3	84

Merged error: 0b

Counts

84 → 3

Compiler

Compiled 1674 to 1172 computations (30% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 2/5 (pow.f64 eps 5))
0.1b	(*.f64 -2/3 (pow.f64 eps 3))

rewrite17.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_782`
19×	`associate-r_binary64_700`
12×	`add-exp-log_binary64_798`
9×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
8×	`unpow-prod-down_binary64_839`
7×	`unswap-sqr_binary64_728`
6×	`prod-exp_binary64_809` `add-cbrt-cube_binary64_796` `associate-l_binary64_701`
4×	`sqr-pow_binary64_732` `cube-prod_binary64_788`
2×	`add-log-exp_binary64_799` `pow-exp_binary64_828` `pow-to-exp_binary64_829` `cbrt-unprod_binary64_793` `pow1_binary64_821` `*-commutative_binary64_691`
1×	`cube-mult_binary64_790` `unpow3_binary64_826`

Counts

2 → 56

Calls

2 calls:

7.0ms	(*.f64 -2/3 (pow.f64 eps 3))
6.0ms	(*.f64 2/5 (pow.f64 eps 5))

series58.0ms (1.3%)

Counts

2 → 6

Calls

2 calls:

35.0ms	(*.f64 2/5 (pow.f64 eps 5))
23.0ms	(*.f64 -2/3 (pow.f64 eps 3))

simplify57.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5184	578

prune68.0ms (1.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	62	3	65

Merged error: 0b

Counts

65 → 3

Compiler

Compiled 1214 to 839 computations (30.9% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 -2/3 (pow.f64 eps 3)) (+.f64 (.f64 2/5 (pow.f64 eps 5)) (+.f64 eps eps)))
0.1b	(*.f64 2/5 (pow.f64 eps 5))
0.1b	(*.f64 -2/3 (pow.f64 eps 3))
2.8b	(exp.f64 (log.f64 (-.f64 (.f64 -2/3 (pow.f64 eps 3)) (+.f64 (.f64 2/5 (pow.f64 eps 5)) (+.f64 eps eps)))))

rewrite49.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64_782`
19×	`associate-r_binary64_700`
14×	`*-un-lft-identity_binary64_760` `add-exp-log_binary64_798` `add-cube-cbrt_binary64_795`
13×	`add-log-exp_binary64_799`
8×	`add-cbrt-cube_binary64_796` `unpow-prod-down_binary64_839`
7×	`unswap-sqr_binary64_728`
6×	`prod-exp_binary64_809` `associate-l_binary64_701`
5×	`pow1_binary64_821`
4×	`exp-prod_binary64_812` `sqr-pow_binary64_732` `cube-prod_binary64_788`
3×	`diff-log_binary64_852` `cancel-sign-sub-inv_binary64_726` `exp-sum_binary64_806` `sum-log_binary64_851` `log-prod_binary64_846`
2×	`log-div_binary64_847` `exp-diff_binary64_808` `pow-exp_binary64_828` `pow-to-exp_binary64_829` `cbrt-unprod_binary64_793` `*-commutative_binary64_691` `flip--_binary64_735` `flip3--_binary64_764`
1×	`cube-mult_binary64_790` `unpow3_binary64_826` `rem-exp-log_binary64_800` `log-pow_binary64_849` `associate--r+_binary64_696` `sub-neg_binary64_753`

Counts

4 → 90

Calls

4 calls:

14.0ms	(exp.f64 (log.f64 (-.f64 (.f64 -2/3 (pow.f64 eps 3)) (+.f64 (.f64 2/5 (pow.f64 eps 5)) (+.f64 eps eps)))))
13.0ms	(-.f64 (.f64 -2/3 (pow.f64 eps 3)) (+.f64 (.f64 2/5 (pow.f64 eps 5)) (+.f64 eps eps)))
8.0ms	(*.f64 -2/3 (pow.f64 eps 3))
6.0ms	(*.f64 2/5 (pow.f64 eps 5))

series166.0ms (3.9%)

Counts

4 → 12

Calls

4 calls:

82.0ms	(exp.f64 (log.f64 (-.f64 (.f64 -2/3 (pow.f64 eps 3)) (+.f64 (.f64 2/5 (pow.f64 eps 5)) (+.f64 eps eps)))))
31.0ms	(*.f64 2/5 (pow.f64 eps 5))
29.0ms	(-.f64 (.f64 -2/3 (pow.f64 eps 3)) (+.f64 (.f64 2/5 (pow.f64 eps 5)) (+.f64 eps eps)))
23.0ms	(*.f64 -2/3 (pow.f64 eps 3))

simplify79.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4900	1682
1	4900	1682

prune126.0ms (2.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	102	3	105

Merged error: 0b

Counts

105 → 3

Compiler

Compiled 2293 to 1665 computations (27.4% saved)

regimes126.0ms (2.9%)

Compiler: Compiled 1461 to 1204 computations (17.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	57	22
1	57	22

end0.0ms (0%)

sample2.7s (62.1%)

Algorithm

1×

intervals

Results

1.3s	3967×	body	1024	valid
390.0ms	2073×	body	512	valid
192.0ms	377×	body	2048	valid
111.0ms	1017×	body	256	valid
30.0ms	566×	body	128	valid

Compiler

Compiled 461 to 380 computations (17.6% saved)

Details

analyze4.0ms (0.1%)

sample75.0ms (1.7%)

simplify256.0ms (5.9%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite25.0ms (0.6%)

series40.0ms (0.9%)

simplify73.0ms (1.7%)

prune106.0ms (2.5%)

localize11.0ms (0.3%)

rewrite31.0ms (0.7%)

series88.0ms (2%)

simplify51.0ms (1.2%)

prune97.0ms (2.2%)

localize9.0ms (0.2%)

rewrite17.0ms (0.4%)

series58.0ms (1.3%)

simplify57.0ms (1.3%)

prune68.0ms (1.6%)

localize12.0ms (0.3%)

rewrite49.0ms (1.1%)

series166.0ms (3.9%)

simplify79.0ms (1.8%)

prune126.0ms (2.9%)

regimes126.0ms (2.9%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.7s (62.1%)

Profiling