Details

analyze661.0ms (5.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4975	144
1	4975	144
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	74.9%	25.1%	5
0%	74.9%	25.1%	6
0%	74.9%	25.1%	7
6.2%	56.2%	37.6%	8
7.8%	53%	39.2%	9
10.9%	45.6%	43.4%	10
18.3%	31.4%	50.3%	11
19.1%	29.5%	51.3%	12
21.4%	24.8%	53.8%	13
25.8%	16.7%	57.5%	14

Compiler

Compiled 25 to 21 computations (16% saved)

sample39.0ms (0.3%)

Algorithm

1×

intervals

Results

20.0ms	256×	body	128	valid
3.0ms	39×	body	128	invalid
1.0ms	22×	body	128	nan

Compiler

Compiled 49 to 44 computations (10.2% saved)

simplify104.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4823	36
1	4823	36

prune4.0ms (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

5.3b

Counts

2 → 1

Compiler

Compiled 48 to 40 computations (16.7% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248)
0.2b	(*.f64 (-.f64 x 1/2) (log.f64 x))
0.2b	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
4.8b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x)

rewrite260.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

5.0b

Rules

26×	`add-sqr-sqrt_binary64_11012` `*-un-lft-identity_binary64_10990`
22×	`add-cube-cbrt_binary64_11025`
18×	`log-prod_binary64_11076`
12×	`associate--l+_binary64_10927`
11×	`add-log-exp_binary64_11029`
10×	`associate-+l+_binary64_10923`
9×	`times-frac_binary64_10996` `distribute-rgt-in_binary64_10940` `distribute-lft-in_binary64_10939`
8×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
7×	`pow1_binary64_11051`
6×	`cancel-sign-sub-inv_binary64_10956`
5×	`associate-l_binary64_10931`
4×	`associate-r_binary64_10930`
3×	`associate-/l_binary64_10935` `associate-/r_binary64_10934`
2×	`flip3-+_binary64_10993` `associate-/l/_binary64_10937` `flip-+_binary64_10964` `diff-log_binary64_11082` `flip3--_binary64_10994` `sub-neg_binary64_10983` `flip--_binary64_10965` `associate-*l/_binary64_10933` `sum-log_binary64_11081`
1×	`div-exp_binary64_11041` `cbrt-undiv_binary64_11024` `frac-2neg_binary64_11001` `clear-num_binary64_10989` `div-inv_binary64_10987` `pow-prod-down_binary64_11061` `prod-exp_binary64_11039` `cbrt-unprod_binary64_11023` `unswap-sqr_binary64_10958` `difference-of-squares_binary64_10959` `distribute-lft-out--_binary64_10942` `log-pow_binary64_11079` `*-commutative_binary64_10921` `distribute-lft-out_binary64_10941` `associate-+l-_binary64_10925` `+-commutative_binary64_10920`

Counts

4 → 102

Calls

4 calls:

11.0ms	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x)
11.0ms	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248)
7.0ms	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
7.0ms	(*.f64 (-.f64 x 1/2) (log.f64 x))

Compiler

Compiled 3303 to 2190 computations (33.7% saved)

series1.2s (9.9%)

Error

2.4b

Counts

4 → 33

Calls

4 calls:

595.0ms	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x)
214.0ms	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248)
202.0ms	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
123.0ms	(*.f64 (-.f64 x 1/2) (log.f64 x))

Compiler

Compiled 2157 to 1702 computations (21.1% saved)

simplify74.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4967	2450
1	4967	2450

prune227.0ms (1.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	126	9	135
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	127	9	136

Error

1.2b

Counts

136 → 9

Compiler

Compiled 3446 to 2325 computations (32.5% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
0.2b	(*.f64 3202559735019045/1152921504606846976 (/.f64 z x))
5.1b	(.f64 (/.f64 (.f64 z z) x) (+.f64 7320129949063637/9223372036854775808 y))
8.0b	(/.f64 (*.f64 z z) x)

rewrite255.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

29×	`add-sqr-sqrt_binary64_11012`
23×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
22×	`*-un-lft-identity_binary64_10990`
20×	`add-cube-cbrt_binary64_11025`
17×	`times-frac_binary64_10996` `associate-r_binary64_10930`
10×	`associate-l_binary64_10931`
8×	`pow1_binary64_11051`
7×	`prod-exp_binary64_11039` `cbrt-unprod_binary64_11023`
6×	`add-log-exp_binary64_11029` `log-prod_binary64_11076` `associate--l+_binary64_10927`
5×	`div-exp_binary64_11041` `cbrt-undiv_binary64_11024`
4×	`unswap-sqr_binary64_10958` `distribute-rgt-in_binary64_10940` `distribute-lft-in_binary64_10939`
3×	`div-inv_binary64_10987` `associate-/r_binary64_10934` `associate-r/_binary64_10932` `cancel-sign-sub-inv_binary64_10956`
2×	`pow-prod-down_binary64_11061` `flip3-+_binary64_10993` `frac-times_binary64_11000` `flip-+_binary64_10964` `*-commutative_binary64_10921`
1×	`frac-2neg_binary64_11001` `clear-num_binary64_10989` `associate-/l_binary64_10935` `associate-l/_binary64_10933` `distribute-lft-out_binary64_10941` `diff-log_binary64_11082` `flip3--_binary64_10994` `sub-neg_binary64_10983` `flip--_binary64_10965`

Counts

4 → 108

Calls

4 calls:

10.0ms	(.f64 (/.f64 (.f64 z z) x) (+.f64 7320129949063637/9223372036854775808 y))
7.0ms	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
7.0ms	(*.f64 3202559735019045/1152921504606846976 (/.f64 z x))
4.0ms	(/.f64 (*.f64 z z) x)

Compiler

Compiled 3872 to 2075 computations (46.4% saved)

series698.0ms (5.8%)

Error

1.2b

Counts

4 → 29

Calls

4 calls:

267.0ms	(.f64 (/.f64 (.f64 z z) x) (+.f64 7320129949063637/9223372036854775808 y))
210.0ms	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
105.0ms	(/.f64 (*.f64 z z) x)
96.0ms	(*.f64 3202559735019045/1152921504606846976 (/.f64 z x))

Compiler

Compiled 2055 to 1557 computations (24.2% saved)

simplify52.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5021	1671

prune192.0ms (1.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	134	3	137
Fresh	3	5	8
Picked	0	1	1
Done	0	0	0
Total	137	9	146

Error

0.0b

Counts

146 → 9

Compiler

Compiled 3484 to 1945 computations (44.2% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (-.f64 x 1/2) (log.f64 x))
0.2b	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
0.2b	(*.f64 3202559735019045/1152921504606846976 (/.f64 z x))
5.1b	(.f64 (.f64 z (/.f64 z x)) (+.f64 7320129949063637/9223372036854775808 y))

rewrite294.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

29×	`add-sqr-sqrt_binary64_11012`
24×	`*-un-lft-identity_binary64_10990`
21×	`associate-r_binary64_10930`
20×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026` `add-cube-cbrt_binary64_11025`
14×	`pow1_binary64_11051`
12×	`log-prod_binary64_11076`
10×	`times-frac_binary64_10996`
9×	`associate-l_binary64_10931`
8×	`prod-exp_binary64_11039` `cbrt-unprod_binary64_11023`
7×	`distribute-rgt-in_binary64_10940` `distribute-lft-in_binary64_10939`
6×	`add-log-exp_binary64_11029` `associate-*r/_binary64_10932` `associate--l+_binary64_10927`
5×	`pow-prod-down_binary64_11061`
3×	`associate-l/_binary64_10933` `-commutative_binary64_10921` `unswap-sqr_binary64_10958` `cancel-sign-sub-inv_binary64_10956`
2×	`div-exp_binary64_11041` `cbrt-undiv_binary64_11024` `flip3-+_binary64_10993` `frac-times_binary64_11000` `flip-+_binary64_10964` `flip3--_binary64_10994` `flip--_binary64_10965`
1×	`distribute-lft-out_binary64_10941` `div-inv_binary64_10987` `diff-log_binary64_11082` `sub-neg_binary64_10983` `difference-of-squares_binary64_10959` `distribute-lft-out--_binary64_10942` `log-pow_binary64_11079`

Counts

4 → 109

Calls

4 calls:

10.0ms	(.f64 (.f64 z (/.f64 z x)) (+.f64 7320129949063637/9223372036854775808 y))
7.0ms	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
7.0ms	(*.f64 (-.f64 x 1/2) (log.f64 x))
7.0ms	(*.f64 3202559735019045/1152921504606846976 (/.f64 z x))

Compiler

Compiled 3810 to 2084 computations (45.3% saved)

series1.2s (9.6%)

Error

0.0b

Counts

4 → 28

Calls

4 calls:

421.0ms	(.f64 (.f64 z (/.f64 z x)) (+.f64 7320129949063637/9223372036854775808 y))
315.0ms	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
206.0ms	(*.f64 (-.f64 x 1/2) (log.f64 x))
154.0ms	(*.f64 3202559735019045/1152921504606846976 (/.f64 z x))

Compiler

Compiled 2108 to 1531 computations (27.4% saved)

simplify102.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5538	1736

prune329.0ms (2.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	134	3	137
Fresh	3	4	7
Picked	1	0	1
Done	0	1	1
Total	138	8	146

Error

0.0b

Counts

146 → 8

Compiler

Compiled 3471 to 1967 computations (43.3% saved)

localize64.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
5.1b	(.f64 (.f64 z (/.f64 z x)) (+.f64 7320129949063637/9223372036854775808 y))

rewrite271.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
10×	`*-un-lft-identity_binary64_10990`
9×	`pow1_binary64_11051` `cbrt-prod_binary64_11021`
8×	`add-cube-cbrt_binary64_11025` `add-sqr-sqrt_binary64_11012`
5×	`prod-exp_binary64_11039` `cbrt-unprod_binary64_11023` `associate-*r/_binary64_10932`
4×	`add-log-exp_binary64_11029` `associate-r_binary64_10930`
3×	`pow-prod-down_binary64_11061` `pow1/3_binary64_11072`
2×	`flip3-+_binary64_10993` `frac-times_binary64_11000` `flip-+_binary64_10964`
1×	`div-exp_binary64_11041` `cbrt-undiv_binary64_11024` `distribute-rgt-in_binary64_10940` `distribute-lft-in_binary64_10939` `associate-l/_binary64_10933` `associate-l_binary64_10931` `distribute-lft-out_binary64_10941` `-commutative_binary64_10921`

Counts

4 → 61

Calls

4 calls:

19.0ms	(.f64 (.f64 z (/.f64 z x)) (+.f64 7320129949063637/9223372036854775808 y))
2.0ms	(cbrt.f64 x)
2.0ms	(cbrt.f64 x)
2.0ms	(cbrt.f64 x)

Compiler

Compiled 2792 to 1402 computations (49.8% saved)

series761.0ms (6.4%)

Error

0.0b

Counts

4 → 21

Calls

4 calls:

357.0ms	(.f64 (.f64 z (/.f64 z x)) (+.f64 7320129949063637/9223372036854775808 y))
130.0ms	(cbrt.f64 x)
127.0ms	(cbrt.f64 x)
124.0ms	(cbrt.f64 x)

Compiler

Compiled 2221 to 1555 computations (30% saved)

simplify54.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5192	822

prune123.0ms (1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	82	8	90

Error

0.0b

Counts

90 → 8

Compiler

Compiled 2536 to 1306 computations (48.5% saved)

regimes3.6s (30%)

Accuracy

Total 0.3b remaining (84.9%)

Threshold costs 0.3b (84.9%)

Compiler

Compiled 29583 to 23020 computations (22.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	79	66
1	79	66

end3.0ms (0%)

Compiler: Compiled 43 to 31 computations (27.9% saved)

sample1.4s (11.7%)

Algorithm

1×

intervals

Results

588.0ms	8000×	body	128	valid
91.0ms	1237×	body	128	invalid
46.0ms	747×	body	128	nan

Compiler

Compiled 370 to 293 computations (20.8% saved)

Details

analyze661.0ms (5.5%)

sample39.0ms (0.3%)

simplify104.0ms (0.9%)

prune4.0ms (0%)

localize18.0ms (0.1%)

rewrite260.0ms (2.2%)

series1.2s (9.9%)

simplify74.0ms (0.6%)

prune227.0ms (1.9%)

localize21.0ms (0.2%)

rewrite255.0ms (2.1%)

series698.0ms (5.8%)

simplify52.0ms (0.4%)

prune192.0ms (1.6%)

localize24.0ms (0.2%)

rewrite294.0ms (2.5%)

series1.2s (9.6%)

simplify102.0ms (0.9%)

prune329.0ms (2.8%)

localize64.0ms (0.5%)

rewrite271.0ms (2.3%)

series761.0ms (6.4%)

simplify54.0ms (0.5%)

prune123.0ms (1%)

regimes3.6s (30%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end3.0ms (0%)

sample1.4s (11.7%)

Profiling