Details

sample33.0ms

Algorithm

intervals

Results

12.0ms	257×	body	80	valid
7.0ms	273×	body	80	nan

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	41	4
3	52	4
4	85	4
5	106	4
6	141	4
7	215	4
8	236	4
9	236	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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

Merged error: 0.1b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (- (* x (log y)) z) y)
0.0b	(- (* x (log y)) z)
0.3b	(* x (log y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate--l+`
18×	`log-prod`
15×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
11×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`distribute-rgt-in` `distribute-lft-in`
6×	`pow1`
5×	`add-exp-log` `add-cbrt-cube`
4×	`diff-log` `associate-r`
3×	`sub-neg` `associate-l`
2×	`flip3--` `flip--`
1×	`associate--l-` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 67

Calls

3 calls:

7.0ms	(- (- (* x (log y)) z) y)
4.0ms	(- (* x (log y)) z)
4.0ms	(* x (log y))

series120.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(- (- (* x (log y)) z) y)
53.0ms	(- (* x (log y)) z)
36.0ms	(* x (log y))

simplify62.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	257	372
1	752	352
2	2351	328
3	5002	328

prune141.0ms

Filtered

76 candidates to 53 candidates (69.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	71	5	76
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	5	77

Merged error: 0.0b

Counts

77 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (sqrt y))
0.0b	(+ (* x (log (sqrt y))) (- (* (log (sqrt y)) x) z))
0.3b	(* (log (sqrt y)) x)
0.3b	(* x (log (sqrt y)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

30×	`log-prod`
22×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `*-un-lft-identity`
15×	`sqrt-prod`
14×	`pow1`
12×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
9×	`add-exp-log` `associate-r` `associate-l` `log-pow` `add-log-exp`
8×	`add-cbrt-cube`
3×	`sqrt-pow1` `pow1/2`
2×	`associate-+r+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate-+r-` `sub-neg` `flip3-+` `diff-log` `rem-log-exp` `flip-+`

Counts

4 → 98

Calls

4 calls:

2.0ms	(log (sqrt y))
9.0ms	(+ (* x (log (sqrt y))) (- (* (log (sqrt y)) x) z))
4.0ms	(* (log (sqrt y)) x)
5.0ms	(* x (log (sqrt y)))

series352.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(log (sqrt y))
93.0ms	(+ (* x (log (sqrt y))) (- (* (log (sqrt y)) x) z))
117.0ms	(* (log (sqrt y)) x)
85.0ms	(* x (log (sqrt y)))

simplify140.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 3 (127.0ms)

Iter	Nodes	Cost
0	362	741
1	1339	644
2	4807	610
3	5002	592

prune210.0ms

Filtered

110 candidates to 77 candidates (70.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	109	6	115

Merged error: 0.0b

Counts

115 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (pow (log (sqrt y)) 3)) x)
0.3b	(* x (log (sqrt y)))
0.6b	(cbrt (pow (log (sqrt y)) 3))
0.7b	(pow (log (sqrt y)) 3)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

40×	`cbrt-prod`
32×	`add-sqr-sqrt`
24×	`associate-l`
23×	`pow1`
21×	`add-cube-cbrt` `*-un-lft-identity` `log-pow`
19×	`unpow-prod-down` `cube-prod`
12×	`log-prod`
9×	`add-exp-log` `associate-r`
8×	`add-cbrt-cube`
7×	`sqrt-pow1` `pow1/2`
6×	`distribute-rgt-in` `distribute-lft-in` `sqrt-prod` `unswap-sqr`
4×	`add-log-exp` `sqr-pow`
3×	`cube-mult` `pow-unpow` `unpow3`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 129

Calls

4 calls:

8.0ms	(* (cbrt (pow (log (sqrt y)) 3)) x)
5.0ms	(* x (log (sqrt y)))
3.0ms	(cbrt (pow (log (sqrt y)) 3))
3.0ms	(pow (log (sqrt y)) 3)

series381.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(* (cbrt (pow (log (sqrt y)) 3)) x)
81.0ms	(* x (log (sqrt y)))
60.0ms	(cbrt (pow (log (sqrt y)) 3))
130.0ms	(pow (log (sqrt y)) 3)

simplify71.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	527	811
1	2241	736
2	5001	723

prune271.0ms

Filtered

141 candidates to 76 candidates (53.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	141	6	147

Merged error: 0.0b

Counts

147 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (* 2 (log (cbrt y))))
0.3b	(* x (log (cbrt y)))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
24×	`cbrt-prod`
23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
6×	`associate-r` `associate-l`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 96

Calls

4 calls:

7.0ms	(* x (* 2 (log (cbrt y))))
5.0ms	(* x (log (cbrt y)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series529.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* x (* 2 (log (cbrt y))))
87.0ms	(* x (log (cbrt y)))
174.0ms	(cbrt y)
174.0ms	(cbrt y)

simplify43.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	291	642
1	1173	565
2	5001	541

prune206.0ms

Filtered

108 candidates to 68 candidates (63.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	108	6	114

Merged error: 0.0b

Counts

114 → 6

regimes77.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	9
1	11	9

end0.0ms

sample856.0ms

Algorithm

intervals

Results

301.0ms	8025×	body	80	valid
223.0ms	8076×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid