Details

sample114.0ms

Algorithm

intervals

Results

43.0ms	767×	body	80	nan
17.0ms	282×	body	80	valid
0.0ms	1×	body	640	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

prune12.0ms

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)

rewrite10.0ms

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:

8.0ms	(+ (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)

series488.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(+ (fma x (log y) z) (+ t a))
347.0ms	(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
51.0ms	(fma x (log y) z)

simplify71.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 3 (67.0ms)

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

prune212.0ms

Filtered

50 candidates to 42 candidates (84.0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	47	3	50
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	49	3	52

Merged error: 0.1b

Counts

52 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
36×	`prod-diff`
35×	`add-sqr-sqrt`
31×	`add-cube-cbrt`
23×	`associate-+l+`
22×	`distribute-rgt-in` `distribute-lft-in`
18×	`add-log-exp`
9×	`sum-log`
7×	`pow1`
6×	`add-exp-log` `associate-*r/` `add-cbrt-cube`
5×	`associate-r`
4×	`expm1-log1p-u` `sub-neg` `fma-def` `flip3-+` `associate-l` `frac-add` `flip-+` `log1p-expm1-u`
3×	`flip3--` `flip--` `distribute-lft-out`
2×	`+-commutative` `associate-+r+` `fma-udef`
1×	`pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 121

Calls

4 calls:

6.0ms	(+ (fma x (log y) z) (+ t a))
13.0ms	(+ (* (log c) (- b 0.5)) (+ (fma x (log y) z) (+ t a)))
7.0ms	(* (log c) (- b 0.5))
1.0ms	(fma x (log y) z)

series635.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(+ (fma x (log y) z) (+ t a))
400.0ms	(+ (* (log c) (- b 0.5)) (+ (fma x (log y) z) (+ t a)))
96.0ms	(* (log c) (- b 0.5))
55.0ms	(fma x (log y) z)

simplify75.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	595	1187
1	2567	952
2	5003	947

prune472.0ms

Filtered

133 candidates to 92 candidates (69.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	130	3	133
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	131	5	136

Merged error: 0.1b

Counts

136 → 5

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite11.0ms

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:

9.0ms	(+ (fma (log c) (- b 0.5) (fma x (log y) z)) (+ t a))
1.0ms	(fma (log c) (- b 0.5) (fma x (log y) z))
1.0ms	(fma x (log y) z)

series530.0ms

Counts

3 → 9

Calls

3 calls:

369.0ms	(+ (fma (log c) (- b 0.5) (fma x (log y) z)) (+ t a))
110.0ms	(fma (log c) (- b 0.5) (fma x (log y) z))
51.0ms	(fma x (log y) z)

simplify76.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 3 (71.0ms)

Iter	Nodes	Cost
0	220	342
1	672	316
2	3253	304
3	5001	302

prune216.0ms

Filtered

50 candidates to 43 candidates (86.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	50	5	55

Merged error: 0.1b

Counts

55 → 5

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (log c)) (cbrt (log c)))
0.5b	(cbrt (log c))
0.5b	(cbrt (log c))
0.5b	(cbrt (log c))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
23×	`add-sqr-sqrt`
20×	`pow1`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`pow1/3` `swap-sqr` `log-pow`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
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 → 89

Calls

4 calls:

6.0ms	(* (cbrt (log c)) (cbrt (log c)))
1.0ms	(cbrt (log c))
1.0ms	(cbrt (log c))
2.0ms	(cbrt (log c))

series1.1s

Counts

4 → 12

Calls

4 calls:

287.0ms	(* (cbrt (log c)) (cbrt (log c)))
273.0ms	(cbrt (log c))
268.0ms	(cbrt (log c))
269.0ms	(cbrt (log c))

simplify88.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	125	517
1	435	446
2	2997	388
3	5001	381

prune352.0ms

Filtered

101 candidates to 64 candidates (63.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	98	3	101
Fresh	0	3	3
Picked	1	0	1
Done	1	0	1
Total	100	6	106

Merged error: 0.0b

Counts

106 → 6

regimes505.0ms

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	28	14
1	28	14

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.5s	27029×	body	80	nan
572.0ms	9130×	body	80	valid
1.0ms	3×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid