Details

analyze4.0ms (0.1%)

Algorithm

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)

sample68.0ms (1.4%)

Algorithm

1×

intervals

Results

38.0ms	116×	body	1024	valid
14.0ms	78×	body	512	valid
6.0ms	12×	body	2048	valid
3.0ms	30×	body	256	valid
1.0ms	20×	body	128	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify245.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (153.0ms)

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

58.4b

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))
5.9b	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

rewrite214.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

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` `associate-/r*_binary64_704` `add-cbrt-cube_binary64_796`
3×	`pow1_binary64_821`
2×	`flip3-+_binary64_763` `associate-/l/_binary64_707` `add-log-exp_binary64_799` `div-inv_binary64_757` `flip-+_binary64_734` `rem-log-exp_binary64_801` `div-exp_binary64_811`
1×	`log-div_binary64_847` `frac-2neg_binary64_771` `cbrt-undiv_binary64_794` `log-pow_binary64_849` `div-sub_binary64_765` `clear-num_binary64_759` `flip--_binary64_735` `flip3--_binary64_764`

Counts

2 → 92

Calls

2 calls:

196.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
8.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

series41.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

28.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
12.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))

simplify73.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5713	1892

prune116.0ms (2.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	95	3	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	3	99

Error

0.0b

Counts

99 → 3

Compiler

Compiled 1544 to 1187 computations (23.1% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 (pow.f64 eps 3) -2/3) (+.f64 (.f64 2/5 (pow.f64 eps 5)) (+.f64 eps eps)))
0.1b	(*.f64 2/5 (pow.f64 eps 5))
0.1b	(*.f64 (pow.f64 eps 3) -2/3)

rewrite31.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_782`
15×	`associate-l_binary64_701`
13×	`add-exp-log_binary64_798`
12×	`add-log-exp_binary64_799`
11×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
10×	`associate-r_binary64_700`
8×	`unpow-prod-down_binary64_839`
7×	`unswap-sqr_binary64_728` `add-cbrt-cube_binary64_796`
6×	`prod-exp_binary64_809`
4×	`sqr-pow_binary64_732` `cube-prod_binary64_788`
3×	`diff-log_binary64_852` `cancel-sign-sub-inv_binary64_726` `sum-log_binary64_851` `pow1_binary64_821`
2×	`pow-exp_binary64_828` `pow-to-exp_binary64_829` `cbrt-unprod_binary64_793` `*-commutative_binary64_691`
1×	`cube-mult_binary64_790` `unpow3_binary64_826` `associate--r+_binary64_696` `sub-neg_binary64_753` `flip--_binary64_735` `flip3--_binary64_764`

Counts

3 → 73

Calls

3 calls:

12.0ms	(-.f64 (.f64 (pow.f64 eps 3) -2/3) (+.f64 (.f64 2/5 (pow.f64 eps 5)) (+.f64 eps eps)))
7.0ms	(*.f64 2/5 (pow.f64 eps 5))
6.0ms	(*.f64 (pow.f64 eps 3) -2/3)

series85.0ms (1.8%)

Counts

3 → 9

Calls

3 calls:

31.0ms	(*.f64 2/5 (pow.f64 eps 5))
29.0ms	(-.f64 (.f64 (pow.f64 eps 3) -2/3) (+.f64 (.f64 2/5 (pow.f64 eps 5)) (+.f64 eps eps)))
24.0ms	(*.f64 (pow.f64 eps 3) -2/3)

simplify50.0ms (1%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5156	1124

prune88.0ms (1.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	82	3	85

Error

0.0b

Counts

85 → 3

Compiler

Compiled 1653 to 1155 computations (30.1% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 3)
0.0b	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
0.1b	(cbrt.f64 (pow.f64 (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 3))
5.9b	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

rewrite32.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

86×	`*-un-lft-identity_binary64_760`
60×	`add-sqr-sqrt_binary64_782`
48×	`times-frac_binary64_766`
33×	`add-cube-cbrt_binary64_795`
30×	`log-prod_binary64_846`
18×	`difference-of-squares_binary64_729`
14×	`cbrt-prod_binary64_791`
13×	`distribute-lft-out_binary64_711`
10×	`add-exp-log_binary64_798` `pow1_binary64_821`
9×	`distribute-lft-out--_binary64_712`
8×	`cube-prod_binary64_788` `unpow-prod-down_binary64_839`
7×	`add-cbrt-cube_binary64_796`
6×	`associate-/l*_binary64_705`
5×	`log-pow_binary64_849`
4×	`associate-/r/_binary64_706` `associate-/r*_binary64_704` `add-log-exp_binary64_799`
3×	`pow-unpow_binary64_837`
2×	`cube-mult_binary64_790` `flip3-+_binary64_763` `associate-/l/_binary64_707` `unpow3_binary64_826` `div-inv_binary64_757` `flip-+_binary64_734` `rem-log-exp_binary64_801` `sqr-pow_binary64_732` `div-exp_binary64_811`
1×	`pow1/3_binary64_842` `rem-cbrt-cube_binary64_784` `log-div_binary64_847` `frac-2neg_binary64_771` `cbrt-undiv_binary64_794` `pow-exp_binary64_828` `rem-cube-cbrt_binary64_783` `pow-to-exp_binary64_829` `div-sub_binary64_765` `clear-num_binary64_759` `flip--_binary64_735` `pow-pow_binary64_832` `flip3--_binary64_764`

Counts

4 → 140

Calls

4 calls:

9.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
8.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
3.0ms	(cbrt.f64 (pow.f64 (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 3))
2.0ms	(pow.f64 (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 3)

series103.0ms (2.2%)

Counts

4 → 12

Calls

4 calls:

33.0ms	(cbrt.f64 (pow.f64 (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 3))
33.0ms	(pow.f64 (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 3)
26.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
11.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))

simplify104.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5044	2918

prune156.0ms (3.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	150	2	152
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	151	4	155

Error

0.0b

Counts

155 → 4

Compiler

Compiled 2697 to 2188 computations (18.9% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (+.f64 (log.f64 (/.f64 (-.f64 1 eps) (-.f64 1 (*.f64 eps eps)))) (log.f64 (-.f64 1 eps))) 3)
0.1b	(cbrt.f64 (pow.f64 (+.f64 (log.f64 (/.f64 (-.f64 1 eps) (-.f64 1 (*.f64 eps eps)))) (log.f64 (-.f64 1 eps))) 3))
5.9b	(log.f64 (-.f64 1 eps))
5.9b	(log.f64 (/.f64 (-.f64 1 eps) (-.f64 1 (*.f64 eps eps))))

rewrite37.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

63×	`*-un-lft-identity_binary64_760`
47×	`add-sqr-sqrt_binary64_782`
42×	`log-prod_binary64_846`
30×	`times-frac_binary64_766`
24×	`difference-of-squares_binary64_729`
23×	`add-cube-cbrt_binary64_795` `pow1_binary64_821`
20×	`cbrt-prod_binary64_791`
18×	`log-pow_binary64_849`
16×	`distribute-lft-out_binary64_711`
14×	`cube-prod_binary64_788` `unpow-prod-down_binary64_839`
9×	`add-exp-log_binary64_798`
6×	`distribute-lft-out--_binary64_712`
5×	`add-cbrt-cube_binary64_796`
4×	`add-log-exp_binary64_799` `cube-div_binary64_789`
3×	`log-div_binary64_847` `rem-log-exp_binary64_801` `pow-unpow_binary64_837`
2×	`cube-mult_binary64_790` `associate-/r/_binary64_706` `flip3-+_binary64_763` `unpow3_binary64_826` `flip-+_binary64_734` `cbrt-div_binary64_792` `sqr-pow_binary64_732` `flip--_binary64_735` `flip3--_binary64_764`
1×	`pow1/3_binary64_842` `rem-cbrt-cube_binary64_784` `pow-exp_binary64_828` `div-inv_binary64_757` `rem-cube-cbrt_binary64_783` `pow-to-exp_binary64_829` `div-exp_binary64_811` `pow-pow_binary64_832`

Counts

4 → 128

Calls

4 calls:

8.0ms	(log.f64 (/.f64 (-.f64 1 eps) (-.f64 1 (*.f64 eps eps))))
6.0ms	(cbrt.f64 (pow.f64 (+.f64 (log.f64 (/.f64 (-.f64 1 eps) (-.f64 1 (*.f64 eps eps)))) (log.f64 (-.f64 1 eps))) 3))
6.0ms	(pow.f64 (+.f64 (log.f64 (/.f64 (-.f64 1 eps) (-.f64 1 (*.f64 eps eps)))) (log.f64 (-.f64 1 eps))) 3)
4.0ms	(log.f64 (-.f64 1 eps))

series140.0ms (2.9%)

Counts

4 → 12

Calls

4 calls:

55.0ms	(pow.f64 (+.f64 (log.f64 (/.f64 (-.f64 1 eps) (-.f64 1 (*.f64 eps eps)))) (log.f64 (-.f64 1 eps))) 3)
47.0ms	(cbrt.f64 (pow.f64 (+.f64 (log.f64 (/.f64 (-.f64 1 eps) (-.f64 1 (*.f64 eps eps)))) (log.f64 (-.f64 1 eps))) 3))
20.0ms	(log.f64 (/.f64 (-.f64 1 eps) (-.f64 1 (*.f64 eps eps))))
18.0ms	(log.f64 (-.f64 1 eps))

simplify81.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4950	3513
1	4950	3513

prune180.0ms (3.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	139	1	140
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	140	4	144

Error

0.0b

Counts

144 → 4

Compiler

Compiled 3376 to 2509 computations (25.7% saved)

regimes164.0ms (3.4%)

Accuracy

Total 0.2b remaining (95.9%)

Threshold costs 0.2b (95.9%)

Compiler

Compiled 1921 to 1610 computations (16.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	66	22
1	66	22

end0.0ms (0%)

sample2.7s (57.2%)

Algorithm

1×

intervals

Results

1.3s	4019×	body	1024	valid
385.0ms	2097×	body	512	valid
170.0ms	351×	body	2048	valid
104.0ms	991×	body	256	valid
27.0ms	542×	body	128	valid

Compiler

Compiled 595 to 498 computations (16.3% saved)

Details

analyze4.0ms (0.1%)

sample68.0ms (1.4%)

simplify245.0ms (5.1%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite214.0ms (4.5%)

series41.0ms (0.9%)

simplify73.0ms (1.5%)

prune116.0ms (2.4%)

localize10.0ms (0.2%)

rewrite31.0ms (0.7%)

series85.0ms (1.8%)

simplify50.0ms (1%)

prune88.0ms (1.8%)

localize8.0ms (0.2%)

rewrite32.0ms (0.7%)

series103.0ms (2.2%)

simplify104.0ms (2.2%)

prune156.0ms (3.2%)

localize11.0ms (0.2%)

rewrite37.0ms (0.8%)

series140.0ms (2.9%)

simplify81.0ms (1.7%)

prune180.0ms (3.7%)

regimes164.0ms (3.4%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.7s (57.2%)

Profiling