Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 22 to 17 computations (22.7% saved)

sample17.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms	256×	pre	128	true
5.0ms	256×	body	128	valid

Compiler

Compiled 29 to 25 computations (13.8% saved)

simplify137.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	498	10
1	498	10

prune2.0ms (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

8.4b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

1.0b	(/.f64 x0 (-.f64 1 x1))
7.5b	(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)

rewrite27.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary64_5897`
28×	`*-un-lft-identity_binary64_5875`
19×	`times-frac_binary64_5881`
14×	`add-cube-cbrt_binary64_5910`
10×	`difference-of-squares_binary64_5844`
6×	`associate-/r*_binary64_5819`
5×	`distribute-lft-out--_binary64_5827`
4×	`add-exp-log_binary64_5913` `add-cbrt-cube_binary64_5911` `add-log-exp_binary64_5914`
3×	`cancel-sign-sub-inv_binary64_5841` `associate-/l*_binary64_5820`
2×	`associate-/r/_binary64_5821` `pow1_binary64_5936` `flip3--_binary64_5879` `flip--_binary64_5850`
1×	`cbrt-undiv_binary64_5909` `div-inv_binary64_5872` `diff-log_binary64_5967` `sub-neg_binary64_5868` `frac-2neg_binary64_5886` `div-exp_binary64_5926` `clear-num_binary64_5874`

Counts

2 → 58

Calls

2 calls:

17.0ms	(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)
6.0ms	(/.f64 x0 (-.f64 1 x1))

series58.0ms (1.9%)

Counts

2 → 6

Calls

2 calls:

33.0ms	(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)
26.0ms	(/.f64 x0 (-.f64 1 x1))

simplify58.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5131	940

prune49.0ms (1.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	62	2	64
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	2	65

Error

6.7b

Counts

65 → 2

Compiler

Compiled 896 to 538 computations (40% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (-.f64 1 x1) (-.f64 1 x1))
0.5b	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
1.0b	(/.f64 x0 (-.f64 1 x1))
6.0b	(-.f64 (/.f64 x0 (*.f64 (-.f64 1 x1) (-.f64 1 x1))) x0)

rewrite58.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

56×	`*-un-lft-identity_binary64_5875`
52×	`add-sqr-sqrt_binary64_5897`
22×	`add-cube-cbrt_binary64_5910`
19×	`times-frac_binary64_5881`
18×	`difference-of-squares_binary64_5844`
11×	`distribute-lft-out--_binary64_5827` `pow1_binary64_5936`
9×	`cancel-sign-sub-inv_binary64_5841`
8×	`add-exp-log_binary64_5913` `add-cbrt-cube_binary64_5911` `flip3--_binary64_5879` `add-log-exp_binary64_5914` `swap-sqr_binary64_5842` `flip--_binary64_5850`
6×	`associate-/r_binary64_5819` `associate-r_binary64_5815` `associate-l*_binary64_5816`
4×	`distribute-rgt-in_binary64_5825` `distribute-lft-in_binary64_5824` `frac-times_binary64_5885`
3×	`sub-neg_binary64_5868` `associate-/l*_binary64_5820`
2×	`associate-/r/_binary64_5821` `associate-l/_binary64_5818` `associate-r/_binary64_5817`
1×	`cbrt-undiv_binary64_5909` `flip-+_binary64_5849` `distribute-lft-out_binary64_5826` `flip3-+_binary64_5878` `pow-prod-down_binary64_5946` `pow-plus_binary64_5938` `div-inv_binary64_5872` `diff-log_binary64_5967` `cbrt-unprod_binary64_5908` `pow-sqr_binary64_5848` `pow2_binary64_5956` `frac-2neg_binary64_5886` `pow-prod-up_binary64_5945` `div-exp_binary64_5926` `unswap-sqr_binary64_5843` `sum-log_binary64_5966` `+-commutative_binary64_5805` `prod-exp_binary64_5924` `*-commutative_binary64_5806` `clear-num_binary64_5874`

Counts

4 → 122

Calls

4 calls:

16.0ms	(-.f64 (/.f64 x0 (*.f64 (-.f64 1 x1) (-.f64 1 x1))) x0)
13.0ms	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
12.0ms	(*.f64 (-.f64 1 x1) (-.f64 1 x1))
6.0ms	(/.f64 x0 (-.f64 1 x1))

series125.0ms (4.1%)

Counts

4 → 12

Calls

4 calls:

60.0ms	(-.f64 (/.f64 x0 (*.f64 (-.f64 1 x1) (-.f64 1 x1))) x0)
28.0ms	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
28.0ms	(/.f64 x0 (-.f64 1 x1))
8.0ms	(*.f64 (-.f64 1 x1) (-.f64 1 x1))

simplify72.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5011	1914

prune156.0ms (5.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	132	2	134
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	134	2	136

Error

5.3b

Counts

136 → 2

Compiler

Compiled 3610 to 2261 computations (37.4% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 x1 (+.f64 x1 -2))
0.5b	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
1.0b	(/.f64 x0 (-.f64 1 x1))
6.0b	(-.f64 (/.f64 x0 (+.f64 1 (*.f64 x1 (+.f64 x1 -2)))) x0)

rewrite39.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`add-sqr-sqrt_binary64_5897`
36×	`*-un-lft-identity_binary64_5875`
19×	`times-frac_binary64_5881`
18×	`add-cube-cbrt_binary64_5910`
10×	`difference-of-squares_binary64_5844`
8×	`add-exp-log_binary64_5913` `add-cbrt-cube_binary64_5911` `add-log-exp_binary64_5914`
6×	`associate-/r*_binary64_5819` `pow1_binary64_5936`
5×	`distribute-lft-out--_binary64_5827`
4×	`associate-r_binary64_5815`
3×	`cancel-sign-sub-inv_binary64_5841` `associate-l_binary64_5816` `associate-/l*_binary64_5820`
2×	`flip-+_binary64_5849` `distribute-lft-out_binary64_5826` `flip3-+_binary64_5878` `associate-/r/_binary64_5821` `associate-*r/_binary64_5817` `flip3--_binary64_5879` `flip--_binary64_5850`
1×	`cbrt-undiv_binary64_5909` `pow-prod-down_binary64_5946` `div-inv_binary64_5872` `diff-log_binary64_5967` `cbrt-unprod_binary64_5908` `sub-neg_binary64_5868` `distribute-rgt-in_binary64_5825` `distribute-lft-in_binary64_5824` `frac-2neg_binary64_5886` `div-exp_binary64_5926` `unswap-sqr_binary64_5843` `sum-log_binary64_5966` `+-commutative_binary64_5805` `prod-exp_binary64_5924` `*-commutative_binary64_5806` `clear-num_binary64_5874`

Counts

4 → 93

Calls

4 calls:

10.0ms	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
10.0ms	(-.f64 (/.f64 x0 (+.f64 1 (*.f64 x1 (+.f64 x1 -2)))) x0)
6.0ms	(*.f64 x1 (+.f64 x1 -2))
6.0ms	(/.f64 x0 (-.f64 1 x1))

series144.0ms (4.7%)

Counts

4 → 12

Calls

4 calls:

69.0ms	(-.f64 (/.f64 x0 (+.f64 1 (*.f64 x1 (+.f64 x1 -2)))) x0)
27.0ms	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
25.0ms	(/.f64 x0 (-.f64 1 x1))
24.0ms	(*.f64 x1 (+.f64 x1 -2))

simplify77.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4931	1557
1	4931	1557

prune121.0ms (4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	103	2	105
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	105	2	107

Error

4.3b

Counts

107 → 2

Compiler

Compiled 2920 to 1812 computations (37.9% saved)

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
1.0b	(/.f64 x0 (-.f64 1 x1))
4.9b	(log.f64 (exp.f64 (-.f64 (/.f64 x0 (+.f64 1 (*.f64 x1 (+.f64 x1 -2)))) x0)))
6.0b	(-.f64 (/.f64 x0 (+.f64 1 (*.f64 x1 (+.f64 x1 -2)))) x0)

rewrite46.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`add-sqr-sqrt_binary64_5897`
37×	`*-un-lft-identity_binary64_5875`
20×	`times-frac_binary64_5881`
19×	`add-cube-cbrt_binary64_5910`
12×	`difference-of-squares_binary64_5844`
8×	`add-log-exp_binary64_5914`
7×	`log-prod_binary64_5961` `log-pow_binary64_5964`
6×	`distribute-lft-out--_binary64_5827` `add-exp-log_binary64_5913` `associate-/r*_binary64_5819` `cancel-sign-sub-inv_binary64_5841` `add-cbrt-cube_binary64_5911` `exp-prod_binary64_5927`
5×	`pow1_binary64_5936`
4×	`exp-sum_binary64_5921`
3×	`associate-/l*_binary64_5820`
2×	`associate-/r/_binary64_5821` `sub-neg_binary64_5868` `flip3--_binary64_5879` `flip--_binary64_5850`
1×	`cbrt-undiv_binary64_5909` `exp-diff_binary64_5923` `flip-+_binary64_5849` `distribute-lft-out_binary64_5826` `rem-log-exp_binary64_5916` `flip3-+_binary64_5878` `div-inv_binary64_5872` `diff-log_binary64_5967` `frac-2neg_binary64_5886` `div-exp_binary64_5926` `sum-log_binary64_5966` `+-commutative_binary64_5805` `clear-num_binary64_5874` `log-div_binary64_5962`

Counts

4 → 93

Calls

4 calls:

11.0ms	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
10.0ms	(log.f64 (exp.f64 (-.f64 (/.f64 x0 (+.f64 1 (*.f64 x1 (+.f64 x1 -2)))) x0)))
10.0ms	(-.f64 (/.f64 x0 (+.f64 1 (*.f64 x1 (+.f64 x1 -2)))) x0)
6.0ms	(/.f64 x0 (-.f64 1 x1))

series292.0ms (9.6%)

Counts

4 → 12

Calls

4 calls:

161.0ms	(log.f64 (exp.f64 (-.f64 (/.f64 x0 (+.f64 1 (*.f64 x1 (+.f64 x1 -2)))) x0)))
73.0ms	(-.f64 (/.f64 x0 (+.f64 1 (*.f64 x1 (+.f64 x1 -2)))) x0)
31.0ms	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
26.0ms	(/.f64 x0 (-.f64 1 x1))

simplify74.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5624	1841

prune134.0ms (4.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	103	2	105
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	105	2	107

Error

3.3b

Counts

107 → 2

Compiler

Compiled 3107 to 1988 computations (36% saved)

regimes153.0ms (5%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Compiler

Compiled 2252 to 1662 computations (26.2% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 4 computations (-33.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	58	121
1	58	121

end0.0ms (0%)

sample1.2s (38.1%)

Algorithm

1×

intervals

Results

230.0ms	8000×	pre	128	true
167.0ms	8000×	body	128	valid

Compiler

Compiled 596 to 438 computations (26.5% saved)

Details

analyze3.0ms (0.1%)

sample17.0ms (0.6%)

simplify137.0ms (4.5%)

prune2.0ms (0.1%)

localize4.0ms (0.1%)

rewrite27.0ms (0.9%)

series58.0ms (1.9%)

simplify58.0ms (1.9%)

prune49.0ms (1.6%)

localize10.0ms (0.3%)

rewrite58.0ms (1.9%)

series125.0ms (4.1%)

simplify72.0ms (2.4%)

prune156.0ms (5.1%)

localize12.0ms (0.4%)

rewrite39.0ms (1.3%)

series144.0ms (4.7%)

simplify77.0ms (2.5%)

prune121.0ms (4%)

localize15.0ms (0.5%)

rewrite46.0ms (1.5%)

series292.0ms (9.6%)

simplify74.0ms (2.4%)

prune134.0ms (4.4%)

regimes153.0ms (5%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.2s (38.1%)

Profiling