Details

analyze353.0ms

Algorithm

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

sample44.0ms

Algorithm

intervals

Results

15.0ms	195×	body	128	valid
8.0ms	28×	body	512	valid
7.0ms	14×	body	1024	valid
3.0ms	19×	body	256	valid
1.0ms	7×	body	128	nan

simplify128.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (121.0ms)

Iter	Nodes	Cost
0	5003	26

prune2.0ms

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

Merged error: 5.7b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
0.0b	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
0.1b	(*.f64 (-.f64 x 1) (log.f64 y))
4.4b	(log.f64 (-.f64 1 y))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt_binary64`
30×	`*-un-lft-identity_binary64`
24×	`log-prod_binary64`
14×	`associate-l_binary64`
13×	`add-cube-cbrt_binary64`
11×	`pow1_binary64` `difference-of-squares_binary64`
9×	`add-log-exp_binary64` `add-exp-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
8×	`associate-r_binary64` `add-cbrt-cube_binary64`
6×	`distribute-lft-out--_binary64`
4×	`flip3--_binary64` `flip--_binary64` `associate-*l/_binary64`
3×	`log-pow_binary64`
2×	`pow-prod-down_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `difference-of-sqr-1_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `log-div_binary64` `*-commutative_binary64`
1×	`sub-neg_binary64` `rem-log-exp_binary64` `associate--l+_binary64` `sum-log_binary64`

Counts

4 → 100

Calls

4 calls:

11.0ms	(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
14.0ms	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
11.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
4.0ms	(log.f64 (-.f64 1 y))

series324.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
189.0ms	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
63.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
24.0ms	(log.f64 (-.f64 1 y))

simplify65.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5005	2039

prune130.0ms

Filtered

78 candidates to 112 candidates (-43.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	105	7	112
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	106	7	113

Merged error: 0.0b

Counts

113 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.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))))) t)
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)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64`
14×	`pow1_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`add-cube-cbrt_binary64` `associate-l_binary64`
10×	`associate-r_binary64`
9×	`add-log-exp_binary64`
6×	`log-prod_binary64`
5×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
3×	`unswap-sqr_binary64` `difference-of-squares_binary64` `*-commutative_binary64`
2×	`flip3--_binary64` `diff-log_binary64` `associate-r/_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `associate-l/_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `log-pow_binary64` `difference-of-sqr-1_binary64` `flip-+_binary64` `associate--l+_binary64` `sum-log_binary64`

Counts

4 → 87

Calls

4 calls:

16.0ms	(-.f64 (+.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))))) t)
10.0ms	(.f64 (.f64 y y) (+.f64 (*.f64 1/3 y) 1/2))
8.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
4.0ms	(*.f64 1/3 y)

series470.0ms

Counts

4 → 12

Calls

4 calls:

293.0ms	(-.f64 (+.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))))) t)
88.0ms	(.f64 (.f64 y y) (+.f64 (*.f64 1/3 y) 1/2))
65.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
23.0ms	(*.f64 1/3 y)

simplify62.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5000	1784

prune106.0ms

Filtered

66 candidates to 99 candidates (-50.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	99	7	106

Merged error: 0.0b

Counts

106 → 7

localize19.0ms

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))))
0.7b	(cbrt.f64 y)
0.7b	(cbrt.f64 y)
4.4b	(log.f64 (-.f64 1 y))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

42×	`log-prod_binary64`
30×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
24×	`associate-+l+_binary64` `cbrt-prod_binary64`
22×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
19×	`add-cube-cbrt_binary64`
12×	`associate-+r+_binary64`
8×	`associate-*l/_binary64`
6×	`add-log-exp_binary64`
5×	`pow1_binary64` `flip3--_binary64` `add-exp-log_binary64` `flip--_binary64`
4×	`frac-add_binary64` `add-cbrt-cube_binary64`
2×	`pow1/3_binary64` `difference-of-squares_binary64` `log-div_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `rem-log-exp_binary64` `log-pow_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 91

Calls

4 calls:

18.0ms	(+.f64 (.f64 (-.f64 x 1) (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 (-.f64 x 1) (log.f64 (cbrt.f64 y))))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
4.0ms	(log.f64 (-.f64 1 y))

series604.0ms

Counts

4 → 12

Calls

4 calls:

250.0ms	(+.f64 (.f64 (-.f64 x 1) (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 (-.f64 x 1) (log.f64 (cbrt.f64 y))))
161.0ms	(cbrt.f64 y)
166.0ms	(cbrt.f64 y)
26.0ms	(log.f64 (-.f64 1 y))

simplify45.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5515	1518

prune157.0ms

Filtered

91 candidates to 103 candidates (-13.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	101	2	103
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	103	7	110

Merged error: 0.0b

Counts

110 → 7

localize29.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt.f64 y)
0.7b	(cbrt.f64 y)
0.7b	(cbrt.f64 y)
4.4b	(log.f64 (-.f64 1 y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
9×	`cbrt-prod_binary64`
8×	`add-cube-cbrt_binary64`
6×	`log-prod_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`pow1/3_binary64`
2×	`difference-of-squares_binary64` `log-div_binary64`
1×	`flip3--_binary64` `rem-log-exp_binary64` `log-pow_binary64` `distribute-lft-out--_binary64` `flip--_binary64`

Counts

4 → 50

Calls

4 calls:

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

series511.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(cbrt.f64 y)
163.0ms	(cbrt.f64 y)
157.0ms	(cbrt.f64 y)
23.0ms	(log.f64 (-.f64 1 y))

simplify53.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5275	503

prune93.0ms

Filtered

50 candidates to 62 candidates (-24.0%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	62	7	69

Merged error: 0.0b

Counts

69 → 7

regimes129.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	234	36
1	234	36

end0.0ms

sample1.3s

Algorithm

intervals

Results

476.0ms	6149×	body	128	valid
248.0ms	464×	body	1024	valid
223.0ms	787×	body	512	valid
101.0ms	600×	body	256	valid
21.0ms	266×	body	128	nan
2.0ms	28×	body	128	invalid

Details

analyze353.0ms

sample44.0ms

simplify128.0ms

prune2.0ms

localize13.0ms

rewrite49.0ms

series324.0ms

simplify65.0ms

prune130.0ms

localize18.0ms

rewrite49.0ms

series470.0ms

simplify62.0ms

prune106.0ms

localize19.0ms

rewrite36.0ms

series604.0ms

simplify45.0ms

prune157.0ms

localize29.0ms

rewrite16.0ms

series511.0ms

simplify53.0ms

prune93.0ms

regimes129.0ms

bsearch0.0ms

simplify5.0ms

end0.0ms

sample1.3s

Profiling