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)

sample76.0ms (1.4%)

Algorithm

1×

intervals

Results

48.0ms	133×	body	1024	valid
12.0ms	62×	body	512	valid
6.0ms	11×	body	2048	valid
3.0ms	25×	body	256	valid
1.0ms	25×	body	128	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify373.0ms (6.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (206.0ms)

Iter	Nodes	Cost
0	4989	12
1	4989	12

prune3.0ms (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: 57.8b

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))
5.6b	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

rewrite29.0ms (0.5%)

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:

10.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
9.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

series86.0ms (1.6%)

Counts

2 → 6

Calls

2 calls:

56.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
30.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))

simplify72.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5316	1892

prune116.0ms (2.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	94	4	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	95	4	99

Merged error: 0.0b

Counts

99 → 4

Compiler

Compiled 1583 to 1220 computations (22.9% saved)

localize10.0ms (0.2%)

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)

rewrite34.0ms (0.6%)

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:

14.0ms	(-.f64 (.f64 (pow.f64 eps 3) -2/3) (+.f64 (.f64 2/5 (pow.f64 eps 5)) (+.f64 eps eps)))
7.0ms	(*.f64 (pow.f64 eps 3) -2/3)
7.0ms	(*.f64 2/5 (pow.f64 eps 5))

series180.0ms (3.3%)

Counts

3 → 9

Calls

3 calls:

64.0ms	(-.f64 (.f64 (pow.f64 eps 3) -2/3) (+.f64 (.f64 2/5 (pow.f64 eps 5)) (+.f64 eps eps)))
61.0ms	(*.f64 2/5 (pow.f64 eps 5))
56.0ms	(*.f64 (pow.f64 eps 3) -2/3)

simplify66.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4864	1115
1	4864	1115

prune93.0ms (1.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	82	4	86

Merged error: 0.0b

Counts

86 → 4

Compiler

Compiled 1701 to 1194 computations (29.8% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite26.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_782`
19×	`associate-r_binary64_700`
13×	`add-exp-log_binary64_798`
10×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
8×	`unpow-prod-down_binary64_839`
7×	`unswap-sqr_binary64_728` `add-cbrt-cube_binary64_796`
6×	`prod-exp_binary64_809` `associate-l_binary64_701`
5×	`add-log-exp_binary64_799`
4×	`sqr-pow_binary64_732` `cube-prod_binary64_788`
3×	`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` `diff-log_binary64_852` `unpow3_binary64_826` `cancel-sign-sub-inv_binary64_726` `sub-neg_binary64_753` `flip--_binary64_735` `flip3--_binary64_764`

Counts

3 → 68

Calls

3 calls:

8.0ms	(*.f64 -2/3 (pow.f64 eps 3))
6.0ms	(*.f64 2/5 (pow.f64 eps 5))
6.0ms	(-.f64 (.f64 -2/3 (pow.f64 eps 3)) (.f64 2/5 (pow.f64 eps 5)))

series315.0ms (5.8%)

Counts

3 → 9

Calls

3 calls:

200.0ms	(-.f64 (.f64 -2/3 (pow.f64 eps 3)) (.f64 2/5 (pow.f64 eps 5)))
68.0ms	(*.f64 2/5 (pow.f64 eps 5))
48.0ms	(*.f64 -2/3 (pow.f64 eps 3))

simplify56.0ms (1%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5094	892

prune88.0ms (1.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	77	4	81

Merged error: 0.0b

Counts

81 → 4

Compiler

Compiled 1565 to 1096 computations (30% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
0.0b	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
5.2b	(log.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))
5.2b	(log.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))

rewrite71.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

158×	`*-un-lft-identity_binary64_760`
106×	`add-sqr-sqrt_binary64_782`
96×	`times-frac_binary64_766`
66×	`log-prod_binary64_846`
60×	`cbrt-prod_binary64_791`
52×	`add-cube-cbrt_binary64_795`
36×	`difference-of-squares_binary64_729`
26×	`distribute-lft-out_binary64_711`
18×	`distribute-lft-out--_binary64_712`
12×	`associate-/l*_binary64_705`
10×	`add-exp-log_binary64_798`
8×	`associate-/r/_binary64_706` `associate-/r*_binary64_704` `add-cbrt-cube_binary64_796`
6×	`pow1_binary64_821`
4×	`flip3-+_binary64_763` `associate-/l/_binary64_707` `add-log-exp_binary64_799` `div-inv_binary64_757` `flip-+_binary64_734` `log-pow_binary64_849`
2×	`pow1/3_binary64_842` `log-div_binary64_847` `frac-2neg_binary64_771` `cbrt-undiv_binary64_794` `div-sub_binary64_765` `cbrt-div_binary64_792` `rem-log-exp_binary64_801` `div-exp_binary64_811` `clear-num_binary64_759` `flip--_binary64_735` `flip3--_binary64_764`

Counts

4 → 190

Calls

4 calls:

12.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
11.0ms	(log.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))
11.0ms	(log.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))
10.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))

series253.0ms (4.7%)

Counts

4 → 12

Calls

4 calls:

105.0ms	(log.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))
103.0ms	(log.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))
23.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
22.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))

simplify91.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

202 → 202

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4985	4354
1	4985	4354

prune392.0ms (7.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	201	1	202
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	202	4	206

Merged error: 0.0b

Counts

206 → 4

Compiler

Compiled 5860 to 4717 computations (19.5% saved)

regimes149.0ms (2.7%)

Compiler: Compiled 1557 to 1304 computations (16.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	57	22
1	57	22

end0.0ms (0%)

sample2.8s (51.9%)

Algorithm

1×

intervals

Results

1.4s	4011×	body	1024	valid
374.0ms	1955×	body	512	valid
214.0ms	406×	body	2048	valid
108.0ms	1017×	body	256	valid
31.0ms	611×	body	128	valid

Compiler

Compiled 482 to 403 computations (16.4% saved)

Details

analyze4.0ms (0.1%)

sample76.0ms (1.4%)

simplify373.0ms (6.9%)

prune3.0ms (0%)

localize5.0ms (0.1%)

rewrite29.0ms (0.5%)

series86.0ms (1.6%)

simplify72.0ms (1.3%)

prune116.0ms (2.1%)

localize10.0ms (0.2%)

rewrite34.0ms (0.6%)

series180.0ms (3.3%)

simplify66.0ms (1.2%)

prune93.0ms (1.7%)

localize9.0ms (0.2%)

rewrite26.0ms (0.5%)

series315.0ms (5.8%)

simplify56.0ms (1%)

prune88.0ms (1.6%)

localize9.0ms (0.2%)

rewrite71.0ms (1.3%)

series253.0ms (4.7%)

simplify91.0ms (1.7%)

prune392.0ms (7.2%)

regimes149.0ms (2.7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.8s (51.9%)

Profiling