Details

analyze480.0ms (9.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5301	182
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
0%	31.2%	68.8%	7
0%	31.2%	68.8%	8
0%	31.2%	68.8%	9
0%	28.1%	71.9%	10
6.1%	20.4%	73.5%	11
6.1%	20.4%	73.5%	12
7.7%	18.8%	73.5%	13
9.2%	16.6%	74.3%	14

Compiler

Compiled 18 to 17 computations (5.6% saved)

sample42.0ms (0.8%)

Algorithm

1×

intervals

Results

15.0ms	201×	body	128	valid
8.0ms	13×	body	1024	valid
5.0ms	19×	body	512	valid
4.0ms	23×	body	256	valid
1.0ms	10×	body	128	nan
0.0ms	2×	body	128	invalid

Compiler

Compiled 35 to 37 computations (-5.7% saved)

simplify132.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (127.0ms)

Iter	Nodes	Cost
0	5003	26

prune3.0ms (0.1%)

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

6.5b

Counts

2 → 1

Compiler

Compiled 34 to 32 computations (5.9% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
0.0b	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y))))
0.1b	(*.f64 (-.f64 x 1) (log.f64 y))
6.1b	(log.f64 (-.f64 1 y))

rewrite45.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`add-sqr-sqrt_binary64_782`
42×	`log-prod_binary64_846`
38×	`*-un-lft-identity_binary64_760`
18×	`distribute-lft-in_binary64_709` `distribute-rgt-in_binary64_710`
17×	`add-cube-cbrt_binary64_795`
14×	`difference-of-squares_binary64_729` `associate-l_binary64_701`
12×	`associate-*l/_binary64_703` `associate-+r+_binary64_692`
11×	`pow1_binary64_821`
9×	`add-exp-log_binary64_798`
8×	`add-cbrt-cube_binary64_796` `associate-r_binary64_700`
7×	`distribute-lft-out--_binary64_712` `flip--_binary64_735` `flip3--_binary64_764`
6×	`add-log-exp_binary64_799` `associate-+l+_binary64_693`
4×	`frac-add_binary64_768`
3×	`log-pow_binary64_849`
2×	`log-div_binary64_847` `unswap-sqr_binary64_728` `prod-exp_binary64_809` `difference-of-sqr-1_binary64_730` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831` `*-commutative_binary64_691`
1×	`flip3-+_binary64_763` `flip-+_binary64_734` `+-commutative_binary64_690` `sum-log_binary64_851` `rem-log-exp_binary64_801`

Counts

4 → 118

Calls

4 calls:

13.0ms	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y))))
11.0ms	(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
7.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
4.0ms	(log.f64 (-.f64 1 y))

series156.0ms (3%)

Counts

4 → 12

Calls

4 calls:

78.0ms	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y))))
38.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
26.0ms	(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
13.0ms	(log.f64 (-.f64 1 y))

simplify75.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5010	2554

prune185.0ms (3.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	124	6	130
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	125	6	131

Error

0.0b

Counts

131 → 6

Compiler

Compiled 3397 to 2294 computations (32.5% saved)

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (-.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 (*.f64 1/3 y) 1/2)))))
0.0b	(.f64 (.f64 y y) (+.f64 (*.f64 1/3 y) 1/2))
0.1b	(*.f64 (-.f64 x 1) (log.f64 y))
0.3b	(*.f64 1/3 y)

rewrite46.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`associate-*l/_binary64_703` `add-sqr-sqrt_binary64_782`
21×	`flip--_binary64_735` `flip3--_binary64_764`
16×	`*-un-lft-identity_binary64_760` `frac-add_binary64_768`
14×	`pow1_binary64_821`
13×	`add-exp-log_binary64_798` `add-cube-cbrt_binary64_795` `add-cbrt-cube_binary64_796`
12×	`log-prod_binary64_846`
11×	`associate-l_binary64_701`
10×	`associate-r_binary64_700`
9×	`distribute-lft-in_binary64_709` `distribute-rgt-in_binary64_710`
8×	`frac-times_binary64_770`
6×	`add-log-exp_binary64_799` `associate-+l+_binary64_693` `associate-*r/_binary64_702`
5×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831`
4×	`associate-+r+_binary64_692`
3×	`unswap-sqr_binary64_728` `*-commutative_binary64_691`
2×	`flip3-+_binary64_763` `cancel-sign-sub-inv_binary64_726` `difference-of-squares_binary64_729` `flip-+_binary64_734` `sub-neg_binary64_753`
1×	`difference-of-sqr-1_binary64_730` `log-pow_binary64_849` `distribute-lft-out--_binary64_712` `+-commutative_binary64_690` `sum-log_binary64_851`

Counts

4 → 109

Calls

4 calls:

11.0ms	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (-.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 (*.f64 1/3 y) 1/2)))))
9.0ms	(.f64 (.f64 y y) (+.f64 (*.f64 1/3 y) 1/2))
7.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
4.0ms	(*.f64 1/3 y)

series195.0ms (3.8%)

Counts

4 → 12

Calls

4 calls:

106.0ms	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (-.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 (*.f64 1/3 y) 1/2)))))
40.0ms	(.f64 (.f64 y y) (+.f64 (*.f64 1/3 y) 1/2))
39.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
10.0ms	(*.f64 1/3 y)

simplify73.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5124	3744

prune199.0ms (3.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	120	7	127

Error

0.0b

Counts

127 → 7

Compiler

Compiled 4722 to 2880 computations (39% saved)

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (.f64 (-.f64 x 1) (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 (-.f64 x 1) (log.f64 (cbrt.f64 y))))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
6.1b	(log.f64 (-.f64 1 y))

rewrite32.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`log-prod_binary64_846`
30×	`distribute-lft-in_binary64_709` `distribute-rgt-in_binary64_710`
24×	`associate-+l+_binary64_693` `cbrt-prod_binary64_791`
22×	`*-un-lft-identity_binary64_760` `add-sqr-sqrt_binary64_782`
19×	`add-cube-cbrt_binary64_795`
12×	`associate-+r+_binary64_692`
8×	`associate-*l/_binary64_703`
6×	`add-log-exp_binary64_799`
5×	`add-exp-log_binary64_798` `pow1_binary64_821` `flip--_binary64_735` `flip3--_binary64_764`
4×	`frac-add_binary64_768` `add-cbrt-cube_binary64_796`
2×	`pow1/3_binary64_842` `log-div_binary64_847` `difference-of-squares_binary64_729`
1×	`distribute-lft-out_binary64_711` `flip3-+_binary64_763` `flip-+_binary64_734` `log-pow_binary64_849` `distribute-lft-out--_binary64_712` `+-commutative_binary64_690` `sum-log_binary64_851` `rem-log-exp_binary64_801`

Counts

4 → 91

Calls

4 calls:

15.0ms	(+.f64 (.f64 (-.f64 x 1) (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 (-.f64 x 1) (log.f64 (cbrt.f64 y))))
4.0ms	(log.f64 (-.f64 1 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series306.0ms (5.9%)

Counts

4 → 12

Calls

4 calls:

130.0ms	(+.f64 (.f64 (-.f64 x 1) (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 (-.f64 x 1) (log.f64 (cbrt.f64 y))))
85.0ms	(cbrt.f64 y)
79.0ms	(cbrt.f64 y)
13.0ms	(log.f64 (-.f64 1 y))

simplify86.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4904	1492
1	4904	1492

prune161.0ms (3.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	101	2	103
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	104	6	110

Error

Counts

110 → 6

Compiler

Compiled 3438 to 2149 computations (37.5% saved)

localize24.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.7b	(cbrt.f64 (cbrt.f64 y))
0.7b	(cbrt.f64 (cbrt.f64 y))
6.1b	(log.f64 (-.f64 1 y))

rewrite14.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`cbrt-prod_binary64_791`
13×	`*-un-lft-identity_binary64_760` `add-sqr-sqrt_binary64_782`
10×	`add-cube-cbrt_binary64_795`
6×	`log-prod_binary64_846`
5×	`add-exp-log_binary64_798` `pow1_binary64_821`
4×	`add-log-exp_binary64_799` `add-cbrt-cube_binary64_796`
3×	`pow1/3_binary64_842`
2×	`log-div_binary64_847` `difference-of-squares_binary64_729`
1×	`log-pow_binary64_849` `distribute-lft-out--_binary64_712` `rem-log-exp_binary64_801` `flip--_binary64_735` `flip3--_binary64_764`

Counts

4 → 56

Calls

4 calls:

4.0ms	(log.f64 (-.f64 1 y))
2.0ms	(cbrt.f64 (cbrt.f64 y))
2.0ms	(cbrt.f64 (cbrt.f64 y))
1.0ms	(cbrt.f64 y)

series316.0ms (6.1%)

Counts

4 → 12

Calls

4 calls:

110.0ms	(cbrt.f64 (cbrt.f64 y))
108.0ms	(cbrt.f64 (cbrt.f64 y))
85.0ms	(cbrt.f64 y)
13.0ms	(log.f64 (-.f64 1 y))

simplify115.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	4903	639
1	4903	639

prune104.0ms (2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	68	6	74

Error

Counts

74 → 6

Compiler

Compiled 2599 to 1431 computations (44.9% saved)

regimes442.0ms (8.5%)

Accuracy

Total 0.2b remaining (89.1%)

Threshold costs 0.2b (89.1%)

Compiler

Compiled 5676 to 4886 computations (13.9% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	234	36
1	234	36

end0.0ms (0%)

sample1.9s (36.8%)

Algorithm

1×

intervals

Results

449.0ms	6120×	body	128	valid
237.0ms	480×	body	1024	valid
208.0ms	777×	body	512	valid
97.0ms	620×	body	256	valid
20.0ms	233×	body	128	nan
3.0ms	3×	body	2048	valid
2.0ms	22×	body	128	invalid

Compiler

Compiled 741 to 637 computations (14% saved)

Details

analyze480.0ms (9.2%)

sample42.0ms (0.8%)

simplify132.0ms (2.5%)

prune3.0ms (0.1%)

localize16.0ms (0.3%)

rewrite45.0ms (0.9%)

series156.0ms (3%)

simplify75.0ms (1.4%)

prune185.0ms (3.5%)

localize18.0ms (0.4%)

rewrite46.0ms (0.9%)

series195.0ms (3.8%)

simplify73.0ms (1.4%)

prune199.0ms (3.8%)

localize20.0ms (0.4%)

rewrite32.0ms (0.6%)

series306.0ms (5.9%)

simplify86.0ms (1.7%)

prune161.0ms (3.1%)

localize24.0ms (0.5%)

rewrite14.0ms (0.3%)

series316.0ms (6.1%)

simplify115.0ms (2.2%)

prune104.0ms (2%)

regimes442.0ms (8.5%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample1.9s (36.8%)

Profiling