Details

sample127.0ms

Algorithm

intervals

Results

45.0ms	805×	body	80	nan
22.0ms	293×	body	80	valid
0.0ms	1×	body	320	valid

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

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

prune11.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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 → 2

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 41

Calls

3 calls:

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)

series501.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(+ (fma x (log y) z) (+ t a))
357.0ms	(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
58.0ms	(fma x (log y) z)

simplify73.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	187	278
1	634	250
2	3135	246
3	5002	245

prune226.0ms

Filtered

50 candidates to 42 candidates (84.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	47	3	50
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	48	4	52

Merged error: 0.1b

Counts

52 → 4

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (log y)) (+ t (+ z a)))
0.1b	(fma (log c) (- b 0.5) (+ (* x (log y)) (+ t (+ z a))))
0.3b	(* x (log y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

10.0ms	(+ (* x (log y)) (+ t (+ z a)))
1.0ms	(fma (log c) (- b 0.5) (+ (* x (log y)) (+ t (+ z a))))
5.0ms	(* x (log y))

series490.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(+ (* x (log y)) (+ t (+ z a)))
363.0ms	(fma (log c) (- b 0.5) (+ (* x (log y)) (+ t (+ z a))))
42.0ms	(* x (log y))

simplify36.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	277	401
1	1032	354
2	5001	345

prune293.0ms

Filtered

69 candidates to 52 candidates (75.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	65	4	69
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	67	6	73

Merged error: 0.0b

Counts

73 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (log c) (- b 0.5)) (+ (* x (log y)) (+ t (+ z a))))
0.0b	(+ (* x (log y)) (+ t (+ z a)))
0.2b	(* (log c) (- b 0.5))
0.3b	(* x (log y))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 141

Calls

4 calls:

21.0ms	(+ (* (log c) (- b 0.5)) (+ (* x (log y)) (+ t (+ z a))))
10.0ms	(+ (* x (log y)) (+ t (+ z a)))
8.0ms	(* (log c) (- b 0.5))
5.0ms	(* x (log y))

series799.0ms

Counts

4 → 12

Calls

4 calls:

380.0ms	(+ (* (log c) (- b 0.5)) (+ (* x (log y)) (+ t (+ z a))))
83.0ms	(+ (* x (log y)) (+ t (+ z a)))
297.0ms	(* (log c) (- b 0.5))
37.0ms	(* x (log y))

simplify85.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	688	1341
1	3048	1079
2	5001	1073

prune559.0ms

Filtered

153 candidates to 103 candidates (67.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	148	5	153
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	150	9	159

Merged error: 0.0b

Counts

159 → 9

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite12.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 81

Calls

4 calls:

6.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series768.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(* (cbrt y) (cbrt y))
174.0ms	(cbrt y)
179.0ms	(cbrt y)
217.0ms	(cbrt y)

simplify88.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune458.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	93	9	102

Merged error: 0.0b

Counts

102 → 9

regimes564.0ms

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	28	15
1	28	15

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.5s	27584×	body	80	nan
572.0ms	9166×	body	80	valid
1.0ms	1×	body	1280	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	320	valid