Details

sample128.0ms

Algorithm

intervals

Results

50.0ms	865×	body	80	nan
19.0ms	301×	body	80	valid

simplify38.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	39	10
1	111	8
2	464	8
3	1654	8
4	5001	8

prune9.0ms

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

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
0.0b	(+ (fma x (log y) z) (+ t a))
0.1b	(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
0.2b	(fma x (log y) z)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
9×	`add-log-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
3×	`fma-def` `sum-log` `distribute-lft-out`
2×	`+-commutative` `associate-+r+`
1×	`associate-+l+` `flip3-+` `flip-+`

Counts

4 → 52

Calls

4 calls:

1.0ms	(fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
6.0ms	(+ (fma x (log y) z) (+ t a))
1.0ms	(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
1.0ms	(fma x (log y) z)

series1.2s

Counts

4 → 12

Calls

4 calls:

670.0ms	(fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
82.0ms	(+ (fma x (log y) z) (+ t a))
363.0ms	(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
54.0ms	(fma x (log y) z)

simplify76.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	210	402
1	676	355
2	3280	350
3	5001	349

prune207.0ms

Filtered

64 candidates to 55 candidates (85.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	61	3	64
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	61	4	65

Merged error: 0.1b

Counts

65 → 4

localize21.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))) (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
0.5b	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
0.5b	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
0.5b	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 84

Calls

4 calls:

6.0ms	(* (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))) (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
1.0ms	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
3.0ms	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
1.0ms	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))

series2.8s

Counts

4 → 12

Calls

4 calls:

1.1s	(* (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))) (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
557.0ms	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
549.0ms	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
547.0ms	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))

simplify49.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	389	1799
1	1405	1626
2	5002	1454

prune362.0ms

Filtered

96 candidates to 72 candidates (75.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	90	6	96
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	91	9	100

Merged error: 0.0b

Counts

100 → 9

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
0.5b	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
0.6b	(cbrt (* (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))) (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))))
0.6b	(cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

58×	`cbrt-prod`
25×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`*-commutative`

Counts

4 → 79

Calls

4 calls:

1.0ms	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
1.0ms	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
6.0ms	(cbrt (* (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))) (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))))
2.0ms	(cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))

series2.8s

Counts

4 → 12

Calls

4 calls:

544.0ms	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
539.0ms	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
1.2s	(cbrt (* (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))) (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))))
532.0ms	(cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))

simplify56.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	489	2041
1	1602	1945
2	5002	1857

prune433.0ms

Filtered

91 candidates to 72 candidates (79.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	89	2	91
Fresh	2	4	6
Picked	1	0	1
Done	0	2	2
Total	92	8	100

Merged error: 0.0b

Counts

100 → 8

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
0.6b	(cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
0.6b	(cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
0.6b	(cbrt (* (cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))) (cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

122×	`cbrt-prod`
41×	`add-sqr-sqrt`
23×	`add-cube-cbrt` `*-un-lft-identity`
9×	`swap-sqr` `associate-r` `associate-l` `unswap-sqr`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`*-commutative`

Counts

4 → 99

Calls

4 calls:

2.0ms	(cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
2.0ms	(cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
2.0ms	(cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
9.0ms	(cbrt (* (cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))) (cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))))

series2.9s

Counts

4 → 12

Calls

4 calls:

543.0ms	(cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
701.0ms	(cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
549.0ms	(cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
1.1s	(cbrt (* (cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))) (cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))))

simplify62.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	427	2855
1	1369	2749
2	5001	2638

prune546.0ms

Filtered

111 candidates to 84 candidates (75.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	110	9	119

Merged error: 0.0b

Counts

119 → 9

regimes645.0ms

Accuracy

0% (0.0b 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	19	8
1	19	8

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.5s	27318×	body	80	nan
582.0ms	9221×	body	80	valid
0.0ms	1×	body	640	valid