Details

analyze254.0ms (4.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5283	12
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample75.0ms (1.3%)

Algorithm

1×

intervals

Results

43.0ms	132×	body	1024	valid
11.0ms	59×	body	512	valid
8.0ms	15×	body	2048	valid
4.0ms	35×	body	256	valid
1.0ms	15×	body	128	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify161.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (156.0ms)

Iter	Nodes	Cost
0	5283	12

prune2.0ms (0%)

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

58.7b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
4.9b	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

rewrite131.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

58.5b

Rules

78×	`*-un-lft-identity_binary64_760`
52×	`add-sqr-sqrt_binary64_782`
48×	`times-frac_binary64_766`
30×	`log-prod_binary64_846`
25×	`add-cube-cbrt_binary64_795`
18×	`difference-of-squares_binary64_729`
13×	`distribute-lft-out_binary64_711`
9×	`distribute-lft-out--_binary64_712`
7×	`add-exp-log_binary64_798`
6×	`associate-/l*_binary64_705`
4×	`associate-/r/_binary64_706` `add-cbrt-cube_binary64_796` `associate-/r*_binary64_704`
3×	`pow1_binary64_821`
2×	`div-inv_binary64_757` `flip3-+_binary64_763` `flip-+_binary64_734` `div-exp_binary64_811` `rem-log-exp_binary64_801` `add-log-exp_binary64_799` `associate-/l/_binary64_707`
1×	`log-pow_binary64_849` `log-div_binary64_847` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `div-sub_binary64_765` `clear-num_binary64_759` `flip3--_binary64_764` `flip--_binary64_735`

Counts

2 → 92

Calls

2 calls:

8.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
8.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

Compiler

Compiled 1606 to 1253 computations (22% saved)

series72.0ms (1.3%)

Error

0.0b

Counts

2 → 14

Calls

2 calls:

40.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
22.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))

Compiler

Compiled 274 to 251 computations (8.4% saved)

simplify79.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5400	1921

prune91.0ms (1.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	104	2	106
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	105	2	107

Error

0.0b

Counts

107 → 2

Compiler

Compiled 1554 to 1197 computations (23% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.1b	(*.f64 2/3 (pow.f64 eps 3))

rewrite36.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`add-sqr-sqrt_binary64_782` `associate-r_binary64_700`
6×	`add-exp-log_binary64_798`
5×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
4×	`unpow-prod-down_binary64_839` `unswap-sqr_binary64_728` `cube-prod_binary64_788`
3×	`prod-exp_binary64_809` `add-cbrt-cube_binary64_796` `associate-l_binary64_701`
2×	`sqr-pow_binary64_732`
1×	`pow1_binary64_821` `pow-to-exp_binary64_829` `pow-exp_binary64_828` `add-log-exp_binary64_799` `cbrt-unprod_binary64_793` `unpow3_binary64_826` `cube-mult_binary64_790` `*-commutative_binary64_691`

Counts

1 → 31

Calls

1 calls:

6.0ms

(*.f64 2/3 (pow.f64 eps 3))

Compiler

Compiled 469 to 368 computations (21.5% saved)

series35.0ms (0.6%)

Error

0.0b

Counts

1 → 3

Calls

1 calls:

32.0ms

(*.f64 2/3 (pow.f64 eps 3))

Compiler

Compiled 81 to 70 computations (13.6% saved)

simplify85.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4924	305
1	4924	305

prune28.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	34	2	36

Error

0.0b

Counts

36 → 2

Compiler

Compiled 454 to 341 computations (24.9% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 1 eps))
0.0b	(/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 eps 1))
5.0b	(log.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 eps 1)))
5.0b	(log.f64 (sqrt.f64 (-.f64 1 eps)))

rewrite277.0ms (4.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

116×	`*-un-lft-identity_binary64_760`
79×	`add-sqr-sqrt_binary64_782`
72×	`times-frac_binary64_766`
66×	`sqrt-prod_binary64_776`
51×	`log-prod_binary64_846`
45×	`add-cube-cbrt_binary64_795`
22×	`difference-of-squares_binary64_729`
19×	`distribute-lft-out_binary64_711`
11×	`distribute-lft-out--_binary64_712`
10×	`add-exp-log_binary64_798`
9×	`associate-/l*_binary64_705`
8×	`pow1_binary64_821`
6×	`sqrt-div_binary64_777` `add-cbrt-cube_binary64_796`
4×	`log-pow_binary64_849` `add-log-exp_binary64_799` `associate-/r/_binary64_706` `associate-/r*_binary64_704`
3×	`flip3--_binary64_764` `log-div_binary64_847` `flip--_binary64_735` `rem-log-exp_binary64_801`
2×	`pow1/2_binary64_840` `sqrt-pow1_binary64_778` `div-inv_binary64_757` `flip3-+_binary64_763` `flip-+_binary64_734` `div-exp_binary64_811` `associate-/l/_binary64_707`
1×	`cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759` `rem-sqrt-square_binary64_773`

Counts

4 → 158

Calls

4 calls:

9.0ms	(log.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 eps 1)))
9.0ms	(/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 eps 1))
5.0ms	(log.f64 (sqrt.f64 (-.f64 1 eps)))
4.0ms	(sqrt.f64 (-.f64 1 eps))

Compiler

Compiled 3904 to 3172 computations (18.8% saved)

series133.0ms (2.4%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

39.0ms	(log.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 eps 1)))
28.0ms	(log.f64 (sqrt.f64 (-.f64 1 eps)))
26.0ms	(/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 eps 1))
20.0ms	(sqrt.f64 (-.f64 1 eps))

Compiler

Compiled 973 to 810 computations (16.8% saved)

simplify91.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5019	3461

prune235.0ms (4.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	181	1	182
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	182	2	184

Error

0.0b

Counts

184 → 2

Compiler

Compiled 3957 to 3176 computations (19.7% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (log.f64 (sqrt.f64 (-.f64 1 eps))) 3)
0.1b	(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (-.f64 1 eps))) 3))
5.0b	(log.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 eps 1)))
5.0b	(log.f64 (sqrt.f64 (-.f64 1 eps)))

rewrite252.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

63×	`*-un-lft-identity_binary64_760`
51×	`log-prod_binary64_846`
45×	`add-sqr-sqrt_binary64_782`
36×	`times-frac_binary64_766`
30×	`add-cube-cbrt_binary64_795` `sqrt-prod_binary64_776`
18×	`cbrt-prod_binary64_791`
16×	`log-pow_binary64_849` `pow1_binary64_821`
12×	`unpow-prod-down_binary64_839` `cube-prod_binary64_788`
10×	`difference-of-squares_binary64_729`
9×	`add-exp-log_binary64_798` `distribute-lft-out_binary64_711`
5×	`pow1/2_binary64_840` `sqrt-pow1_binary64_778` `distribute-lft-out--_binary64_712` `add-cbrt-cube_binary64_796`
4×	`add-log-exp_binary64_799`
3×	`log-div_binary64_847` `rem-log-exp_binary64_801` `pow-unpow_binary64_837`
2×	`sqrt-div_binary64_777` `associate-/r/_binary64_706` `unpow3_binary64_826` `cube-mult_binary64_790` `sqr-pow_binary64_732`
1×	`flip3--_binary64_764` `flip--_binary64_735` `div-inv_binary64_757` `flip3-+_binary64_763` `flip-+_binary64_734` `div-exp_binary64_811` `pow1/3_binary64_842` `rem-cbrt-cube_binary64_784` `pow-pow_binary64_832` `pow-to-exp_binary64_829` `pow-exp_binary64_828` `rem-cube-cbrt_binary64_783`

Counts

4 → 131

Calls

4 calls:

9.0ms	(log.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 eps 1)))
5.0ms	(log.f64 (sqrt.f64 (-.f64 1 eps)))
4.0ms	(pow.f64 (log.f64 (sqrt.f64 (-.f64 1 eps))) 3)
4.0ms	(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (-.f64 1 eps))) 3))

Compiler

Compiled 3544 to 2995 computations (15.5% saved)

series163.0ms (2.9%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

45.0ms	(pow.f64 (log.f64 (sqrt.f64 (-.f64 1 eps))) 3)
37.0ms	(log.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 eps 1)))
29.0ms	(log.f64 (sqrt.f64 (-.f64 1 eps)))
27.0ms	(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (-.f64 1 eps))) 3))

Compiler

Compiled 1215 to 1020 computations (16% saved)

simplify99.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4889	2696
1	4889	2696

prune214.0ms (3.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	155	0	155
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	155	2	157

Error

0.0b

Counts

157 → 2

Compiler

Compiled 3575 to 2968 computations (17% saved)

regimes167.0ms (3%)

Accuracy

Total 0.3b remaining (90.2%)

Threshold costs 0.3b (90.2%)

Compiler

Compiled 1977 to 1678 computations (15.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	68	15
1	68	15

end0.0ms (0%)

sample2.9s (51.9%)

Algorithm

1×

intervals

Results

1.3s	4034×	body	1024	valid
377.0ms	2021×	body	512	valid
217.0ms	433×	body	2048	valid
99.0ms	963×	body	256	valid
26.0ms	549×	body	128	valid

Compiler

Compiled 623 to 531 computations (14.8% saved)

Details

analyze254.0ms (4.5%)

sample75.0ms (1.3%)

simplify161.0ms (2.9%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite131.0ms (2.3%)

series72.0ms (1.3%)

simplify79.0ms (1.4%)

prune91.0ms (1.6%)

localize6.0ms (0.1%)

rewrite36.0ms (0.6%)

series35.0ms (0.6%)

simplify85.0ms (1.5%)

prune28.0ms (0.5%)

localize9.0ms (0.2%)

rewrite277.0ms (4.9%)

series133.0ms (2.4%)

simplify91.0ms (1.6%)

prune235.0ms (4.2%)

localize12.0ms (0.2%)

rewrite252.0ms (4.5%)

series163.0ms (2.9%)

simplify99.0ms (1.7%)

prune214.0ms (3.8%)

regimes167.0ms (3%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.9s (51.9%)

Profiling