Details

sample35.0ms

Algorithm

intervals

Results

10.0ms	273×	body	80	valid
9.0ms	288×	body	80	nan

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	5
1	47	5
2	71	5
3	103	5
4	124	5
5	138	5
6	148	5
7	148	5

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: 0.2b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.3b	(* y (sqrt z))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`associate-r`
4×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
3×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
2×	`unswap-sqr`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp`

Counts

1 → 22

Calls

1 calls:

5.0ms

(* y (sqrt z))

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(* y (sqrt z))

simplify86.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	148	113
1	603	100
2	2850	94
3	5001	94

prune55.0ms

Filtered

25 candidates to 16 candidates (64.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	19	6	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	7	26

Merged error: 0.0b

Counts

26 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt z))
0.1b	(sqrt (sqrt z))
0.2b	(* y (sqrt (sqrt z)))
0.4b	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

41×	`sqrt-prod`
25×	`add-sqr-sqrt`
18×	`associate-r`
15×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
8×	`sqrt-pow1`
4×	`rem-sqrt-square` `pow1/2` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`unswap-sqr`
2×	`*-commutative`

Counts

4 → 88

Calls

4 calls:

2.0ms	(sqrt (sqrt z))
2.0ms	(sqrt (sqrt z))
6.0ms	(* y (sqrt (sqrt z)))
9.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series392.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(sqrt (sqrt z))
138.0ms	(sqrt (sqrt z))
74.0ms	(* y (sqrt (sqrt z)))
43.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify44.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	336	516
1	1470	454
2	5002	427

prune195.0ms

Filtered

100 candidates to 59 candidates (59.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	95	5	100
Fresh	4	1	5
Picked	1	0	1
Done	0	1	1
Total	100	7	107

Merged error: 0b

Counts

107 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (/ 1 z) -1/4)
0.1b	(sqrt (sqrt z))
0.2b	(* y (sqrt (sqrt z)))
0.4b	(* (* y (sqrt (sqrt z))) (pow (/ 1 z) -1/4))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log`
34×	`add-sqr-sqrt`
26×	`add-cube-cbrt` `unpow-prod-down` `-un-lft-identity` `associate-r*`
22×	`sqrt-prod`
19×	`prod-exp`
18×	`times-frac`
12×	`pow-exp`
11×	`add-cbrt-cube`
10×	`pow1`
6×	`div-exp`
4×	`sqrt-pow1` `associate-l` `cbrt-unprod` `add-log-exp`
3×	`pow-to-exp` `rec-exp` `pow-unpow` `pow-pow` `1-exp` `unswap-sqr`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `div-inv` `sqr-pow`
1×	`pow-flip` `pow-prod-down` `inv-pow`

Counts

4 → 117

Calls

4 calls:

5.0ms	(pow (/ 1 z) -1/4)
2.0ms	(sqrt (sqrt z))
6.0ms	(* y (sqrt (sqrt z)))
11.0ms	(* (* y (sqrt (sqrt z))) (pow (/ 1 z) -1/4))

series488.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(pow (/ 1 z) -1/4)
133.0ms	(sqrt (sqrt z))
79.0ms	(* y (sqrt (sqrt z)))
107.0ms	(* (* y (sqrt (sqrt z))) (pow (/ 1 z) -1/4))

simplify74.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	621	768
1	2847	693
2	5001	691

prune264.0ms

Filtered

129 candidates to 75 candidates (58.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	129	7	136

Merged error: 0b

Counts

136 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series717.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(* (cbrt z) (cbrt z))
178.0ms	(cbrt z)
173.0ms	(cbrt z)
175.0ms	(cbrt z)

simplify87.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune296.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	85	7	92

Merged error: 0b

Counts

92 → 7

regimes233.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5

end0.0ms

sample981.0ms

Algorithm

intervals

Results

321.0ms	8544×	body	80	valid
284.0ms	8499×	body	80	nan