Details

sample44.0ms

Algorithm

intervals

Results

16.0ms	294×	body	80	valid
11.0ms	314×	body	80	nan

simplify69.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	5
1	57	5
2	121	5
3	241	5
4	364	5
5	490	5
6	641	5
7	1023	5
8	1797	5
9	2155	5
10	2161	5
11	2161	5

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (- 1.0 z) (log z))
0.2b	(* y (+ (- 1.0 z) (log z)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
12×	`add-cube-cbrt`
11×	`associate-+l+`
9×	`prod-diff`
8×	`pow1` `distribute-lft-out`
7×	`associate-r`
5×	`fma-def` `distribute-lft-out--` `add-log-exp`
4×	`add-exp-log` `log-pow` `add-cbrt-cube`
3×	`associate-+r+` `log-prod` `associate-l`
2×	`expm1-log1p-u` `flip3-+` `associate-*r/` `sum-log` `flip-+` `log1p-expm1-u`
1×	`+-commutative` `distribute-rgt-in` `associate-+l-` `sub-neg` `distribute-lft-in` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

2 → 66

Calls

2 calls:

9.0ms	(+ (- 1.0 z) (log z))
10.0ms	(* y (+ (- 1.0 z) (log z)))

series242.0ms

Counts

2 → 6

Calls

2 calls:

163.0ms	(+ (- 1.0 z) (log z))
78.0ms	(* y (+ (- 1.0 z) (log z)))

simplify40.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	282	371
1	1301	289
2	5002	286

prune164.0ms

Filtered

72 candidates to 50 candidates (69.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	64	8	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	8	73

Merged error: 0.0b

Counts

73 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z))))
0.2b	(+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z)))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
11×	`add-cube-cbrt`
9×	`cbrt-prod`
8×	`pow1`
6×	`add-exp-log` `associate-+r+` `log-prod` `add-cbrt-cube`
5×	`associate-r` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out`
3×	`fma-def` `associate-l`
2×	`flip3-+` `pow1/3` `associate-*r/` `log-pow` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

6.0ms	(* y (+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z))))
5.0ms	(+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.2s

Counts

4 → 12

Calls

4 calls:

259.0ms	(* y (+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z))))
635.0ms	(+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z)))
173.0ms	(cbrt z)
180.0ms	(cbrt z)

simplify41.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	290	621
1	1166	547
2	5001	502

prune282.0ms

Filtered

89 candidates to 74 candidates (83.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	4	3	7
Picked	0	1	1
Done	0	0	0
Total	92	5	97

Merged error: 0.0b

Counts

97 → 5

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (* y (fma 2 (log (cbrt z)) (- 1.0 z))) (* (log (pow z 1/3)) y))
0.3b	(* (log (pow z 1/3)) y)
0.6b	(cbrt z)
5.0b	(pow z 1/3)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1` `add-exp-log`
6×	`add-cbrt-cube` `add-log-exp`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u`
3×	`cbrt-prod` `unpow-prod-down` `pow-unpow` `associate-r`
2×	`associate-+l+` `fma-udef`
1×	`+-commutative` `distribute-rgt-in` `pow-to-exp` `pow-pow` `fma-def` `distribute-lft-in` `flip3-+` `unpow1/3` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr` `sqr-pow`

Counts

4 → 70

Calls

4 calls:

4.0ms	(+ (* y (fma 2 (log (cbrt z)) (- 1.0 z))) (* (log (pow z 1/3)) y))
4.0ms	(* (log (pow z 1/3)) y)
1.0ms	(cbrt z)
2.0ms	(pow z 1/3)

series717.0ms

Counts

4 → 12

Calls

4 calls:

269.0ms	(+ (* y (fma 2 (log (cbrt z)) (- 1.0 z))) (* (log (pow z 1/3)) y))
102.0ms	(* (log (pow z 1/3)) y)
175.0ms	(cbrt z)
171.0ms	(pow z 1/3)

simplify50.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	336	434
1	1224	390
2	5001	366

prune273.0ms

Filtered

82 candidates to 65 candidates (79.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	82	5	87

Merged error: 0.0b

Counts

87 → 5

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma y (fma 2 (log (cbrt z)) (- 1.0 z)) (* (log (pow z 1/3)) y))
0.3b	(* (log (pow z 1/3)) y)
0.6b	(cbrt z)
5.0b	(pow z 1/3)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1` `add-exp-log`
6×	`add-cbrt-cube`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `unpow-prod-down` `pow-unpow` `associate-r`
1×	`pow-to-exp` `pow-pow` `unpow1/3` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr` `sqr-pow`

Counts

4 → 64

Calls

4 calls:

1.0ms	(fma y (fma 2 (log (cbrt z)) (- 1.0 z)) (* (log (pow z 1/3)) y))
4.0ms	(* (log (pow z 1/3)) y)
1.0ms	(cbrt z)
2.0ms	(pow z 1/3)

series726.0ms

Counts

4 → 12

Calls

4 calls:

269.0ms	(fma y (fma 2 (log (cbrt z)) (- 1.0 z)) (* (log (pow z 1/3)) y))
105.0ms	(* (log (pow z 1/3)) y)
182.0ms	(cbrt z)
169.0ms	(pow z 1/3)

simplify169.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	259	354
1	905	308
2	4791	295
3	5001	295

prune430.0ms

Filtered

76 candidates to 59 candidates (77.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	76	5	81

Merged error: 0.0b

Counts

81 → 5

regimes79.0ms

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	17	9
1	17	9

end0.0ms

sample1.1s

Algorithm

intervals

Results

413.0ms	9156×	body	80	valid
336.0ms	9077×	body	80	nan