Details

analyze116.0ms (2.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	16
1	14	16
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample14.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 23 to 20 computations (13% saved)

simplify12.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	16
1	14	16

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

0.0b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (+.f64 x 1))
0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
0.0b	(/.f64 1 (-.f64 x 1))

rewrite174.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

67×	`*-un-lft-identity_binary64_2465`
41×	`times-frac_binary64_2471`
40×	`add-sqr-sqrt_binary64_2487`
24×	`add-cube-cbrt_binary64_2500`
12×	`distribute-lft-out_binary64_2416`
11×	`associate-/r*_binary64_2409`
9×	`add-exp-log_binary64_2503`
8×	`difference-of-squares_binary64_2434`
7×	`add-cbrt-cube_binary64_2501`
6×	`distribute-lft-out--_binary64_2417` `associate-/l*_binary64_2410`
5×	`add-log-exp_binary64_2504`
4×	`pow1_binary64_2526` `difference-of-sqr-1_binary64_2435` `associate-/r/_binary64_2411`
3×	`div-exp_binary64_2516` `div-inv_binary64_2462`
2×	`cbrt-undiv_binary64_2499` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `flip3-+_binary64_2468` `flip-+_binary64_2439`
1×	`inv-pow_binary64_2550` `pow-flip_binary64_2539` `1-exp_binary64_2509` `rec-exp_binary64_2515` `flip3--_binary64_2469` `flip--_binary64_2440` `sum-log_binary64_2556` `frac-add_binary64_2473` `+-commutative_binary64_2395`

Counts

3 → 100

Calls

3 calls:

37.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
6.0ms	(/.f64 1 (-.f64 x 1))
5.0ms	(/.f64 x (+.f64 x 1))

Compiler

Compiled 1870 to 1402 computations (25% saved)

series196.0ms (4.3%)

Error

0.0b

Counts

3 → 36

Calls

3 calls:

69.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
44.0ms	(/.f64 x (+.f64 x 1))
42.0ms	(/.f64 1 (-.f64 x 1))

Compiler

Compiled 1016 to 849 computations (16.4% saved)

simplify105.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4999	1891
1	4999	1891

prune187.0ms (4.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	133	3	136
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	134	3	137

Error

Counts

137 → 3

Compiler

Compiled 2226 to 1621 computations (27.2% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (/.f64 1 (+.f64 -1 x)))
0.0b	(+.f64 (log.f64 (exp.f64 (/.f64 1 (+.f64 -1 x)))) (/.f64 x (+.f64 x 1)))
0.0b	(/.f64 1 (+.f64 -1 x))
3.0b	(log.f64 (exp.f64 (/.f64 1 (+.f64 -1 x))))

rewrite228.0ms (5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

54×	`*-un-lft-identity_binary64_2465`
36×	`exp-prod_binary64_2517` `times-frac_binary64_2471`
31×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487`
20×	`log-pow_binary64_2554`
12×	`distribute-lft-out_binary64_2416`
8×	`add-exp-log_binary64_2503`
7×	`pow1_binary64_2526`
6×	`associate-/r/_binary64_2411` `log-prod_binary64_2551` `add-log-exp_binary64_2504` `add-cbrt-cube_binary64_2501`
4×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `associate-/r*_binary64_2409`
3×	`div-inv_binary64_2462` `associate-/l*_binary64_2410` `associate-+l+_binary64_2398`
2×	`div-exp_binary64_2516`
1×	`rem-log-exp_binary64_2506` `inv-pow_binary64_2550` `pow-flip_binary64_2539` `1-exp_binary64_2509` `rec-exp_binary64_2515` `cbrt-undiv_binary64_2499` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `sum-log_binary64_2556` `+-commutative_binary64_2395` `rem-exp-log_binary64_2505`

Counts

4 → 109

Calls

4 calls:

30.0ms	(+.f64 (log.f64 (exp.f64 (/.f64 1 (+.f64 -1 x)))) (/.f64 x (+.f64 x 1)))
7.0ms	(log.f64 (exp.f64 (/.f64 1 (+.f64 -1 x))))
7.0ms	(exp.f64 (/.f64 1 (+.f64 -1 x)))
6.0ms	(/.f64 1 (+.f64 -1 x))

Compiler

Compiled 2320 to 1885 computations (18.8% saved)

series383.0ms (8.4%)

Error

Counts

4 → 48

Calls

4 calls:

171.0ms	(+.f64 (log.f64 (exp.f64 (/.f64 1 (+.f64 -1 x)))) (/.f64 x (+.f64 x 1)))
61.0ms	(log.f64 (exp.f64 (/.f64 1 (+.f64 -1 x))))
50.0ms	(exp.f64 (/.f64 1 (+.f64 -1 x)))
47.0ms	(/.f64 1 (+.f64 -1 x))

Compiler

Compiled 1562 to 1291 computations (17.3% saved)

simplify109.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	5011	2016

prune196.0ms (4.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	157	3	160

Error

Counts

160 → 3

Compiler

Compiled 2786 to 2134 computations (23.4% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (cbrt.f64 (+.f64 -1 x)) (cbrt.f64 (+.f64 -1 x)))
0.3b	(cbrt.f64 (+.f64 -1 x))
0.3b	(cbrt.f64 (+.f64 -1 x))
0.3b	(cbrt.f64 (+.f64 -1 x))

rewrite219.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

36×	`cbrt-prod_binary64_2496`
35×	`*-un-lft-identity_binary64_2465`
23×	`add-sqr-sqrt_binary64_2487`
18×	`cbrt-div_binary64_2497`
15×	`add-cube-cbrt_binary64_2500`
11×	`pow1_binary64_2526`
9×	`pow1/3_binary64_2547` `flip3-+_binary64_2468` `flip-+_binary64_2439` `distribute-lft-out_binary64_2416` `swap-sqr_binary64_2432`
7×	`associate-l_binary64_2406` `associate-r_binary64_2405`
6×	`add-exp-log_binary64_2503`
4×	`add-log-exp_binary64_2504` `add-cbrt-cube_binary64_2501` `frac-times_binary64_2475` `unswap-sqr_binary64_2433`
2×	`pow-prod-down_binary64_2536` `pow-prod-up_binary64_2535` `pow-sqr_binary64_2438` `associate-l/_binary64_2408` `associate-r/_binary64_2407`
1×	`pow2_binary64_2546` `pow-plus_binary64_2528` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `*-commutative_binary64_2396`

Counts

4 → 95

Calls

4 calls:

12.0ms	(*.f64 (cbrt.f64 (+.f64 -1 x)) (cbrt.f64 (+.f64 -1 x)))
5.0ms	(cbrt.f64 (+.f64 -1 x))
3.0ms	(cbrt.f64 (+.f64 -1 x))
3.0ms	(cbrt.f64 (+.f64 -1 x))

Compiler

Compiled 3023 to 2427 computations (19.7% saved)

series323.0ms (7.1%)

Error

Counts

4 → 30

Calls

4 calls:

110.0ms	(*.f64 (cbrt.f64 (+.f64 -1 x)) (cbrt.f64 (+.f64 -1 x)))
59.0ms	(cbrt.f64 (+.f64 -1 x))
54.0ms	(cbrt.f64 (+.f64 -1 x))
48.0ms	(cbrt.f64 (+.f64 -1 x))

Compiler

Compiled 2258 to 1928 computations (14.6% saved)

simplify130.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4887	1807
1	4887	1807

prune255.0ms (5.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	125	3	128

Error

Counts

128 → 3

Compiler

Compiled 3642 to 2870 computations (21.2% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 1 (*.f64 x x))
0.0b	(+.f64 -1 (*.f64 x x))
15.6b	(/.f64 (+.f64 1 (.f64 x x)) (+.f64 -1 (.f64 x x)))

rewrite88.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

11×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465`
9×	`times-frac_binary64_2471`
7×	`add-log-exp_binary64_2504`
5×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
4×	`flip3-+_binary64_2468` `flip-+_binary64_2439`
3×	`pow1_binary64_2526` `associate-/l_binary64_2410` `associate-/r_binary64_2409`
2×	`associate-/l/_binary64_2412` `associate-/r/_binary64_2411` `sum-log_binary64_2556` `+-commutative_binary64_2395`
1×	`div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `div-inv_binary64_2462`

Counts

3 → 53

Calls

3 calls:

7.0ms	(/.f64 (+.f64 1 (.f64 x x)) (+.f64 -1 (.f64 x x)))
3.0ms	(+.f64 -1 (*.f64 x x))
3.0ms	(+.f64 1 (*.f64 x x))

Compiler

Compiled 1121 to 593 computations (47.1% saved)

series152.0ms (3.3%)

Error

Counts

3 → 24

Calls

3 calls:

66.0ms	(/.f64 (+.f64 1 (.f64 x x)) (+.f64 -1 (.f64 x x)))
38.0ms	(+.f64 1 (*.f64 x x))
32.0ms	(+.f64 -1 (*.f64 x x))

Compiler

Compiled 592 to 490 computations (17.2% saved)

simplify91.0ms (2%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4920	1220
1	4920	1220

prune62.0ms (1.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	77	3	80

Error

Counts

80 → 3

Compiler

Compiled 1221 to 670 computations (45.1% saved)

regimes108.0ms (2.4%)

Accuracy

Total 0.0b remaining (100%)

Threshold costs 0.0b (100%)

Compiler

Compiled 985 to 803 computations (18.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	22
1	16	22

end0.0ms (0%)

sample1.4s (30%)

Algorithm

1×

intervals

Results

291.0ms

8000×

body

128

valid

Compiler

Compiled 471 to 385 computations (18.3% saved)

Details

analyze116.0ms (2.5%)

sample14.0ms (0.3%)

simplify12.0ms (0.3%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite174.0ms (3.8%)

series196.0ms (4.3%)

simplify105.0ms (2.3%)

prune187.0ms (4.1%)

localize10.0ms (0.2%)

rewrite228.0ms (5%)

series383.0ms (8.4%)

simplify109.0ms (2.4%)

prune196.0ms (4.3%)

localize12.0ms (0.3%)

rewrite219.0ms (4.8%)

series323.0ms (7.1%)

simplify130.0ms (2.9%)

prune255.0ms (5.6%)

localize6.0ms (0.1%)

rewrite88.0ms (1.9%)

series152.0ms (3.3%)

simplify91.0ms (2%)

prune62.0ms (1.4%)

regimes108.0ms (2.4%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.4s (30%)

Profiling