Details

analyze621.0ms (5.6%)

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 (0.4%)

Algorithm

1×

intervals

Results

20.0ms	256×	body	128	valid
3.0ms	44×	body	128	invalid
2.0ms	35×	body	128	nan

Compiler

Compiled 49 to 44 computations (10.2% saved)

simplify109.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (104.0ms)

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

8.5b

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 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248)
0.1b	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
0.2b	(*.f64 (-.f64 x 1/2) (log.f64 x))
7.8b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x)

rewrite247.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

8.3b

Rules

26×	`add-sqr-sqrt_binary64_11353` `*-un-lft-identity_binary64_11331`
22×	`add-cube-cbrt_binary64_11366`
18×	`log-prod_binary64_11417`
12×	`associate--l+_binary64_11268`
11×	`add-log-exp_binary64_11370`
10×	`associate-+l+_binary64_11264`
9×	`times-frac_binary64_11337` `distribute-rgt-in_binary64_11281` `distribute-lft-in_binary64_11280`
8×	`add-exp-log_binary64_11369` `add-cbrt-cube_binary64_11367`
7×	`pow1_binary64_11392`
6×	`cancel-sign-sub-inv_binary64_11297`
5×	`associate-l_binary64_11272`
4×	`associate-r_binary64_11271`
3×	`associate-/l_binary64_11276` `associate-/r_binary64_11275`
2×	`flip3-+_binary64_11334` `associate-/l/_binary64_11278` `flip-+_binary64_11305` `flip3--_binary64_11335` `associate-*l/_binary64_11274` `flip--_binary64_11306` `diff-log_binary64_11423` `sub-neg_binary64_11324` `sum-log_binary64_11422`
1×	`div-exp_binary64_11382` `cbrt-undiv_binary64_11365` `frac-2neg_binary64_11342` `clear-num_binary64_11330` `div-inv_binary64_11328` `pow-prod-down_binary64_11402` `prod-exp_binary64_11380` `cbrt-unprod_binary64_11364` `unswap-sqr_binary64_11299` `difference-of-squares_binary64_11300` `distribute-lft-out--_binary64_11283` `log-pow_binary64_11420` `*-commutative_binary64_11262` `distribute-lft-out_binary64_11282` `associate-+l-_binary64_11266` `+-commutative_binary64_11261`

Counts

4 → 102

Calls

4 calls:

12.0ms	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x)
12.0ms	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248)
8.0ms	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
8.0ms	(*.f64 (-.f64 x 1/2) (log.f64 x))

Compiler

Compiled 3459 to 2298 computations (33.6% saved)

series754.0ms (6.8%)

Error

3.8b

Counts

4 → 33

Calls

4 calls:

382.0ms	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x)
127.0ms	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
124.0ms	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248)
72.0ms	(*.f64 (-.f64 x 1/2) (log.f64 x))

Compiler

Compiled 2447 to 1892 computations (22.7% saved)

simplify79.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4967	2450
1	4967	2450

prune436.0ms (3.9%)

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 4389 to 2936 computations (33.1% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (-.f64 x 1/2) (log.f64 x))
0.2b	(*.f64 3202559735019045/1152921504606846976 (/.f64 z x))
3.7b	(.f64 (/.f64 (.f64 z z) x) (+.f64 7320129949063637/9223372036854775808 y))
9.7b	(/.f64 (*.f64 z z) x)

rewrite247.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

34×	`add-sqr-sqrt_binary64_11353`
25×	`add-exp-log_binary64_11369` `add-cbrt-cube_binary64_11367` `*-un-lft-identity_binary64_11331`
21×	`add-cube-cbrt_binary64_11366` `associate-r_binary64_11271`
17×	`times-frac_binary64_11337`
15×	`associate-l_binary64_11272`
11×	`pow1_binary64_11392`
8×	`prod-exp_binary64_11380` `cbrt-unprod_binary64_11364`
6×	`log-prod_binary64_11417`
5×	`div-exp_binary64_11382` `cbrt-undiv_binary64_11365` `unswap-sqr_binary64_11299`
4×	`add-log-exp_binary64_11370` `distribute-rgt-in_binary64_11281` `distribute-lft-in_binary64_11280`
3×	`div-inv_binary64_11328` `associate-/r_binary64_11275` `pow-prod-down_binary64_11402` `associate-l/_binary64_11274` `associate-r/_binary64_11273` `-commutative_binary64_11262`
2×	`flip3-+_binary64_11334` `frac-times_binary64_11341` `flip-+_binary64_11305`
1×	`frac-2neg_binary64_11342` `clear-num_binary64_11330` `associate-/l*_binary64_11276` `distribute-lft-out_binary64_11282` `flip3--_binary64_11335` `flip--_binary64_11306` `difference-of-squares_binary64_11300` `distribute-lft-out--_binary64_11283` `log-pow_binary64_11420`

Counts

4 → 117

Calls

4 calls:

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

Compiler

Compiled 4325 to 2336 computations (46% saved)

series442.0ms (4%)

Error

2.0b

Counts

4 → 29

Calls

4 calls:

186.0ms	(.f64 (/.f64 (.f64 z z) x) (+.f64 7320129949063637/9223372036854775808 y))
77.0ms	(*.f64 (-.f64 x 1/2) (log.f64 x))
76.0ms	(/.f64 (*.f64 z z) x)
65.0ms	(*.f64 3202559735019045/1152921504606846976 (/.f64 z x))

Compiler

Compiled 2579 to 1868 computations (27.6% saved)

simplify93.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4949	1739
1	4949	1739

prune243.0ms (2.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	142	4	146
Fresh	4	6	10
Picked	1	0	1
Done	0	0	0
Total	147	10	157

Error

0.0b

Counts

157 → 10

Compiler

Compiled 5314 to 2974 computations (44% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 z (/.f64 z x))
0.2b	(*.f64 (-.f64 x 1/2) (log.f64 x))
0.2b	(*.f64 3202559735019045/1152921504606846976 (/.f64 z x))
3.7b	(.f64 (.f64 z (/.f64 z x)) (+.f64 7320129949063637/9223372036854775808 y))

rewrite250.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

39×	`add-sqr-sqrt_binary64_11353`
34×	`associate-r_binary64_11271`
29×	`*-un-lft-identity_binary64_11331`
25×	`add-exp-log_binary64_11369` `add-cbrt-cube_binary64_11367` `add-cube-cbrt_binary64_11366`
20×	`times-frac_binary64_11337`
16×	`pow1_binary64_11392`
12×	`associate-l_binary64_11272`
10×	`prod-exp_binary64_11380` `cbrt-unprod_binary64_11364`
7×	`associate-*r/_binary64_11273`
6×	`pow-prod-down_binary64_11402` `log-prod_binary64_11417`
5×	`unswap-sqr_binary64_11299`
4×	`add-log-exp_binary64_11370` `distribute-rgt-in_binary64_11281` `distribute-lft-in_binary64_11280` `*-commutative_binary64_11262`
3×	`div-exp_binary64_11382` `cbrt-undiv_binary64_11365` `associate-*l/_binary64_11274`
2×	`flip3-+_binary64_11334` `frac-times_binary64_11341` `flip-+_binary64_11305` `div-inv_binary64_11328`
1×	`distribute-lft-out_binary64_11282` `flip3--_binary64_11335` `flip--_binary64_11306` `difference-of-squares_binary64_11300` `distribute-lft-out--_binary64_11283` `log-pow_binary64_11420`

Counts

4 → 121

Calls

4 calls:

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

Compiler

Compiled 4487 to 2403 computations (46.4% saved)

series417.0ms (3.8%)

Error

0.0b

Counts

4 → 29

Calls

4 calls:

176.0ms	(.f64 (.f64 z (/.f64 z x)) (+.f64 7320129949063637/9223372036854775808 y))
73.0ms	(*.f64 (-.f64 x 1/2) (log.f64 x))
69.0ms	(*.f64 z (/.f64 z x))
61.0ms	(*.f64 3202559735019045/1152921504606846976 (/.f64 z x))

Compiler

Compiled 2579 to 1847 computations (28.4% saved)

simplify75.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4972	1731
1	4972	1731

prune246.0ms (2.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	146	4	150
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	151	9	160

Error

0.0b

Counts

160 → 9

Compiler

Compiled 5430 to 3019 computations (44.4% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 z (/.f64 x z))
0.2b	(*.f64 (-.f64 x 1/2) (log.f64 x))
0.2b	(*.f64 3202559735019045/1152921504606846976 (/.f64 z x))
3.7b	(*.f64 (/.f64 z (/.f64 x z)) (+.f64 7320129949063637/9223372036854775808 y))

rewrite424.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

154×	`times-frac_binary64_11337`
112×	`add-sqr-sqrt_binary64_11353`
98×	`*-un-lft-identity_binary64_11331`
94×	`add-cube-cbrt_binary64_11366`
52×	`associate-l_binary64_11272`
25×	`add-exp-log_binary64_11369` `add-cbrt-cube_binary64_11367`
21×	`associate-r_binary64_11271`
13×	`associate-/r*_binary64_11275`
11×	`pow1_binary64_11392`
10×	`div-inv_binary64_11328`
7×	`div-exp_binary64_11382` `cbrt-undiv_binary64_11365`
6×	`prod-exp_binary64_11380` `cbrt-unprod_binary64_11364` `unswap-sqr_binary64_11299` `log-prod_binary64_11417`
4×	`add-log-exp_binary64_11370` `distribute-rgt-in_binary64_11281` `distribute-lft-in_binary64_11280`
3×	`pow-prod-down_binary64_11402` `associate-l/_binary64_11274` `associate-r/_binary64_11273` `-commutative_binary64_11262` `associate-/l_binary64_11276`
2×	`flip3-+_binary64_11334` `frac-times_binary64_11341` `flip-+_binary64_11305` `associate-/r/_binary64_11277`
1×	`distribute-lft-out_binary64_11282` `flip3--_binary64_11335` `flip--_binary64_11306` `difference-of-squares_binary64_11300` `distribute-lft-out--_binary64_11283` `log-pow_binary64_11420` `frac-2neg_binary64_11342` `clear-num_binary64_11330`

Counts

4 → 204

Calls

4 calls:

16.0ms	(*.f64 (/.f64 z (/.f64 x z)) (+.f64 7320129949063637/9223372036854775808 y))
9.0ms	(/.f64 z (/.f64 x z))
8.0ms	(*.f64 (-.f64 x 1/2) (log.f64 x))
7.0ms	(*.f64 3202559735019045/1152921504606846976 (/.f64 z x))

Compiler

Compiled 7964 to 4061 computations (49% saved)

series422.0ms (3.8%)

Error

0.0b

Counts

4 → 29

Calls

4 calls:

178.0ms	(*.f64 (/.f64 z (/.f64 x z)) (+.f64 7320129949063637/9223372036854775808 y))
73.0ms	(/.f64 z (/.f64 x z))
71.0ms	(*.f64 (-.f64 x 1/2) (log.f64 x))
60.0ms	(*.f64 3202559735019045/1152921504606846976 (/.f64 z x))

Compiler

Compiled 2579 to 1868 computations (27.6% saved)

simplify74.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

233 → 233

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5356	3268

prune394.0ms (3.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	233	0	233
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	233	9	242

Error

0.0b

Counts

242 → 9

Compiler

Compiled 8464 to 4347 computations (48.6% saved)

regimes1.9s (17.2%)

Accuracy

Total 0.3b remaining (96.6%)

Threshold costs 0.3b (96.6%)

Compiler

Compiled 29188 to 22836 computations (21.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	80	45
1	80	45

end0.0ms (0%)

sample3.5s (31.6%)

Algorithm

1×

intervals

Results

571.0ms	8000×	body	128	valid
91.0ms	1213×	body	128	invalid
45.0ms	745×	body	128	nan

Compiler

Compiled 3438 to 2677 computations (22.1% saved)

Details

analyze621.0ms (5.6%)

sample39.0ms (0.4%)

simplify109.0ms (1%)

prune3.0ms (0%)

localize17.0ms (0.1%)

rewrite247.0ms (2.2%)

series754.0ms (6.8%)

simplify79.0ms (0.7%)

prune436.0ms (3.9%)

localize20.0ms (0.2%)

rewrite247.0ms (2.2%)

series442.0ms (4%)

simplify93.0ms (0.8%)

prune243.0ms (2.2%)

localize19.0ms (0.2%)

rewrite250.0ms (2.2%)

series417.0ms (3.8%)

simplify75.0ms (0.7%)

prune246.0ms (2.2%)

localize20.0ms (0.2%)

rewrite424.0ms (3.8%)

series422.0ms (3.8%)

simplify74.0ms (0.7%)

prune394.0ms (3.5%)

regimes1.9s (17.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.5s (31.6%)

Profiling