Details

analyze602.0ms (5.1%)

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

17.0ms	256×	body	128	valid
5.0ms	33×	body	128	nan
3.0ms	44×	body	128	invalid

Compiler

Compiled 49 to 44 computations (10.2% saved)

simplify111.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (105.0ms)

Iter	Nodes	Cost
0	4823	36
1	4823	36

prune3.0ms (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

5.0b

Counts

2 → 1

Compiler

Compiled 48 to 40 computations (16.7% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (-.f64 x 1/2) (log.f64 x))
0.2b	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248)
0.2b	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
4.5b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x)

rewrite244.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

4.8b

Rules

26×	`add-sqr-sqrt_binary64_11694` `*-un-lft-identity_binary64_11672`
22×	`add-cube-cbrt_binary64_11707`
18×	`log-prod_binary64_11758`
12×	`associate--l+_binary64_11609`
11×	`add-log-exp_binary64_11711`
10×	`associate-+l+_binary64_11605`
9×	`times-frac_binary64_11678` `distribute-rgt-in_binary64_11622` `distribute-lft-in_binary64_11621`
8×	`add-exp-log_binary64_11710` `add-cbrt-cube_binary64_11708`
7×	`pow1_binary64_11733`
6×	`cancel-sign-sub-inv_binary64_11638`
5×	`associate-l_binary64_11613`
4×	`associate-r_binary64_11612`
3×	`associate-/l_binary64_11617` `associate-/r_binary64_11616`
2×	`flip3-+_binary64_11675` `associate-/l/_binary64_11619` `flip-+_binary64_11646` `diff-log_binary64_11764` `flip3--_binary64_11676` `sub-neg_binary64_11665` `flip--_binary64_11647` `sum-log_binary64_11763` `associate-*l/_binary64_11615`
1×	`div-exp_binary64_11723` `cbrt-undiv_binary64_11706` `frac-2neg_binary64_11683` `clear-num_binary64_11671` `div-inv_binary64_11669` `distribute-lft-out_binary64_11623` `associate-+l-_binary64_11607` `+-commutative_binary64_11602` `pow-prod-down_binary64_11743` `prod-exp_binary64_11721` `cbrt-unprod_binary64_11705` `unswap-sqr_binary64_11640` `difference-of-squares_binary64_11641` `distribute-lft-out--_binary64_11624` `log-pow_binary64_11761` `*-commutative_binary64_11603`

Counts

4 → 102

Calls

4 calls:

12.0ms	(/.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 3459 to 2298 computations (33.6% saved)

series721.0ms (6.1%)

Error

3.5b

Counts

4 → 33

Calls

4 calls:

356.0ms	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x)
129.0ms	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248)
117.0ms	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
68.0ms	(*.f64 (-.f64 x 1/2) (log.f64 x))

Compiler

Compiled 2447 to 1892 computations (22.7% saved)

simplify78.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4967	2450
1	4967	2450

prune239.0ms (2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	124	11	135
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	125	11	136

Error

2.0b

Counts

136 → 11

Compiler

Compiled 4402 to 2943 computations (33.1% saved)

localize22.0ms (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))
5.7b	(.f64 (/.f64 (.f64 z z) x) (+.f64 7320129949063637/9223372036854775808 y))
9.7b	(/.f64 (*.f64 z z) x)

rewrite213.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

29×	`add-sqr-sqrt_binary64_11694`
23×	`add-exp-log_binary64_11710` `add-cbrt-cube_binary64_11708`
22×	`*-un-lft-identity_binary64_11672`
20×	`add-cube-cbrt_binary64_11707`
17×	`times-frac_binary64_11678` `associate-r_binary64_11612`
10×	`associate-l_binary64_11613`
8×	`pow1_binary64_11733`
7×	`prod-exp_binary64_11721` `cbrt-unprod_binary64_11705`
6×	`add-log-exp_binary64_11711` `log-prod_binary64_11758` `associate--l+_binary64_11609`
5×	`div-exp_binary64_11723` `cbrt-undiv_binary64_11706`
4×	`unswap-sqr_binary64_11640` `distribute-rgt-in_binary64_11622` `distribute-lft-in_binary64_11621`
3×	`div-inv_binary64_11669` `associate-/r_binary64_11616` `associate-r/_binary64_11614` `cancel-sign-sub-inv_binary64_11638`
2×	`pow-prod-down_binary64_11743` `flip3-+_binary64_11675` `frac-times_binary64_11682` `flip-+_binary64_11646` `*-commutative_binary64_11603`
1×	`frac-2neg_binary64_11683` `clear-num_binary64_11671` `associate-/l_binary64_11617` `associate-l/_binary64_11615` `distribute-lft-out_binary64_11623` `diff-log_binary64_11764` `flip3--_binary64_11676` `sub-neg_binary64_11665` `flip--_binary64_11647`

Counts

4 → 108

Calls

4 calls:

10.0ms	(.f64 (/.f64 (.f64 z z) x) (+.f64 7320129949063637/9223372036854775808 y))
8.0ms	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
7.0ms	(*.f64 3202559735019045/1152921504606846976 (/.f64 z x))
5.0ms	(/.f64 (*.f64 z z) x)

Compiler

Compiled 4032 to 2165 computations (46.3% saved)

series486.0ms (4.1%)

Error

2.0b

Counts

4 → 29

Calls

4 calls:

185.0ms	(.f64 (/.f64 (.f64 z z) x) (+.f64 7320129949063637/9223372036854775808 y))
127.0ms	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
72.0ms	(/.f64 (*.f64 z z) x)
66.0ms	(*.f64 3202559735019045/1152921504606846976 (/.f64 z x))

Compiler

Compiled 2579 to 1874 computations (27.3% saved)

simplify51.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5021	1671

prune230.0ms (1.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	133	4	137
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	136	12	148

Error

0.0b

Counts

148 → 12

Compiler

Compiled 5090 to 2860 computations (43.8% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 z (/.f64 x z))
0.2b	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
0.2b	(*.f64 3202559735019045/1152921504606846976 (/.f64 z x))
5.7b	(*.f64 (/.f64 z (/.f64 x z)) (+.f64 7320129949063637/9223372036854775808 y))

rewrite409.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

154×	`times-frac_binary64_11678`
107×	`add-sqr-sqrt_binary64_11694`
95×	`*-un-lft-identity_binary64_11672`
93×	`add-cube-cbrt_binary64_11707`
47×	`associate-l_binary64_11613`
23×	`add-exp-log_binary64_11710` `add-cbrt-cube_binary64_11708`
17×	`associate-r_binary64_11612`
13×	`associate-/r*_binary64_11616`
10×	`div-inv_binary64_11669`
8×	`pow1_binary64_11733`
7×	`div-exp_binary64_11723` `cbrt-undiv_binary64_11706`
6×	`add-log-exp_binary64_11711` `log-prod_binary64_11758` `associate--l+_binary64_11609`
5×	`prod-exp_binary64_11721` `cbrt-unprod_binary64_11705` `unswap-sqr_binary64_11640`
4×	`distribute-rgt-in_binary64_11622` `distribute-lft-in_binary64_11621`
3×	`associate-r/_binary64_11614` `cancel-sign-sub-inv_binary64_11638` `associate-/l_binary64_11617`
2×	`pow-prod-down_binary64_11743` `flip3-+_binary64_11675` `frac-times_binary64_11682` `flip-+_binary64_11646` `associate-/r/_binary64_11618` `*-commutative_binary64_11603`
1×	`associate-*l/_binary64_11615` `distribute-lft-out_binary64_11623` `diff-log_binary64_11764` `flip3--_binary64_11676` `sub-neg_binary64_11665` `flip--_binary64_11647` `frac-2neg_binary64_11683` `clear-num_binary64_11671`

Counts

4 → 195

Calls

4 calls:

21.0ms	(*.f64 (/.f64 z (/.f64 x z)) (+.f64 7320129949063637/9223372036854775808 y))
8.0ms	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
7.0ms	(*.f64 3202559735019045/1152921504606846976 (/.f64 z x))
6.0ms	(/.f64 z (/.f64 x z))

Compiler

Compiled 7671 to 3891 computations (49.3% saved)

series492.0ms (4.2%)

Error

0.0b

Counts

4 → 29

Calls

4 calls:

190.0ms	(*.f64 (/.f64 z (/.f64 x z)) (+.f64 7320129949063637/9223372036854775808 y))
116.0ms	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
77.0ms	(/.f64 z (/.f64 x z))
68.0ms	(*.f64 3202559735019045/1152921504606846976 (/.f64 z x))

Compiler

Compiled 2579 to 1874 computations (27.3% saved)

simplify71.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

224 → 224

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5192	3200

prune361.0ms (3.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	222	2	224
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	224	12	236

Error

0.0b

Counts

236 → 12

Compiler

Compiled 8597 to 4510 computations (47.5% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
5.7b	(*.f64 (/.f64 z (/.f64 x z)) (+.f64 7320129949063637/9223372036854775808 y))

rewrite244.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

69×	`times-frac_binary64_11678`
52×	`add-sqr-sqrt_binary64_11694`
45×	`*-un-lft-identity_binary64_11672`
44×	`associate-l_binary64_11613`
43×	`add-cube-cbrt_binary64_11707`
13×	`add-exp-log_binary64_11710` `add-cbrt-cube_binary64_11708`
9×	`cbrt-prod_binary64_11703`
6×	`pow1_binary64_11733`
4×	`add-log-exp_binary64_11711` `div-inv_binary64_11669` `associate-r_binary64_11612`
3×	`div-exp_binary64_11723` `prod-exp_binary64_11721` `cbrt-unprod_binary64_11705` `cbrt-undiv_binary64_11706` `unswap-sqr_binary64_11640` `pow1/3_binary64_11754`
2×	`flip3-+_binary64_11675` `frac-times_binary64_11682` `flip-+_binary64_11646` `associate-*r/_binary64_11614`
1×	`pow-prod-down_binary64_11743` `distribute-rgt-in_binary64_11622` `distribute-lft-in_binary64_11621` `associate-l/_binary64_11615` `associate-/r/_binary64_11618` `distribute-lft-out_binary64_11623` `-commutative_binary64_11603`

Counts

4 → 106

Calls

4 calls:

19.0ms	(*.f64 (/.f64 z (/.f64 x z)) (+.f64 7320129949063637/9223372036854775808 y))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 5353 to 2578 computations (51.8% saved)

series452.0ms (3.8%)

Error

0.0b

Counts

4 → 21

Calls

4 calls:

183.0ms	(*.f64 (/.f64 z (/.f64 x z)) (+.f64 7320129949063637/9223372036854775808 y))
81.0ms	(cbrt.f64 x)
77.0ms	(cbrt.f64 x)
75.0ms	(cbrt.f64 x)

Compiler

Compiled 2658 to 1815 computations (31.7% saved)

simplify50.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5710	1569

prune229.0ms (1.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	128	11	139

Error

0.0b

Counts

139 → 11

Compiler

Compiled 6092 to 2973 computations (51.2% saved)

regimes2.3s (19.1%)

Accuracy

Total 0.3b remaining (82%)

Threshold costs 0.3b (82%)

Compiler

Compiled 35539 to 27456 computations (22.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	92	66
1	92	66

end0.0ms (0%)

sample4.2s (35.1%)

Algorithm

1×

intervals

Results

557.0ms	8000×	body	128	valid
87.0ms	1198×	body	128	invalid
50.0ms	731×	body	128	nan

Compiler

Compiled 4186 to 3224 computations (23% saved)

Details

analyze602.0ms (5.1%)

sample39.0ms (0.3%)

simplify111.0ms (0.9%)

prune3.0ms (0%)

localize17.0ms (0.1%)

rewrite244.0ms (2.1%)

series721.0ms (6.1%)

simplify78.0ms (0.7%)

prune239.0ms (2%)

localize22.0ms (0.2%)

rewrite213.0ms (1.8%)

series486.0ms (4.1%)

simplify51.0ms (0.4%)

prune230.0ms (1.9%)

localize20.0ms (0.2%)

rewrite409.0ms (3.5%)

series492.0ms (4.2%)

simplify71.0ms (0.6%)

prune361.0ms (3.1%)

localize28.0ms (0.2%)

rewrite244.0ms (2.1%)

series452.0ms (3.8%)

simplify50.0ms (0.4%)

prune229.0ms (1.9%)

regimes2.3s (19.1%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.2s (35.1%)

Profiling