Details

sample128.0ms

Algorithm

intervals

Results

48.0ms	916×	body	80	nan
20.0ms	292×	body	80	valid

simplify39.0ms

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

localize20.0ms

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)

series482.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(+ (fma x (log y) z) (+ t a))
344.0ms	(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
51.0ms	(fma x (log y) z)

simplify73.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 3 (68.0ms)

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	46	4	50
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	48	4	52

Merged error: 0.1b

Counts

52 → 4

localize21.0ms

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	(fma x (log y) z)
0.1b	(* (log c) (- b 0.5))

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)))
1.0ms	(fma x (log y) z)
8.0ms	(* (log c) (- b 0.5))

series632.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(+ (fma x (log y) z) (+ t a))
391.0ms	(+ (* (log c) (- b 0.5)) (+ (fma x (log y) z) (+ t a)))
57.0ms	(fma x (log y) z)
97.0ms	(* (log c) (- b 0.5))

simplify70.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (58.0ms)

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

prune540.0ms

Filtered

133 candidates to 92 candidates (69.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	126	7	133
Fresh	3	0	3
Picked	1	0	1
Done	0	0	0
Total	130	7	137

Merged error: 0.1b

Counts

137 → 7

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (log c))
0.5b	(cbrt (log c))
0.5b	(cbrt (log c))
0.6b	(* (cbrt (log c)) (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:

1.0ms	(cbrt (log c))
1.0ms	(cbrt (log c))
1.0ms	(cbrt (log c))
7.0ms	(* (cbrt (log c)) (cbrt (log c)))

series1.1s

Counts

4 → 12

Calls

4 calls:

273.0ms	(cbrt (log c))
264.0ms	(cbrt (log c))
264.0ms	(cbrt (log c))
279.0ms	(* (cbrt (log c)) (cbrt (log c)))

simplify87.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	125	517
1	443	446
2	3004	388
3	5001	381

prune417.0ms

Filtered

101 candidates to 64 candidates (63.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	98	3	101
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	100	8	108

Merged error: 0.0b

Counts

108 → 8

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (pow (pow (log c) 2) 1/3) (* (cbrt (log c)) (- b 0.5)))
0.5b	(cbrt (log c))
0.5b	(pow (log c) 2)
1.2b	(pow (pow (log c) 2) 1/3)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

44×	`distribute-rgt-in` `distribute-lft-in`
37×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
36×	`prod-diff`
30×	`unpow-prod-down`
28×	`add-exp-log`
15×	`prod-exp`
13×	`associate-l` `pow-exp`
10×	`add-cbrt-cube`
9×	`pow1`
7×	`pow-to-exp`
6×	`pow-unpow` `cbrt-unprod`
5×	`sqr-pow`
4×	`cbrt-prod` `expm1-log1p-u` `sub-neg` `associate-*r/` `log-pow` `log1p-expm1-u` `add-log-exp`
3×	`unpow1/3` `unpow2`
2×	`pow-pow`
1×	`flip3--` `pow1/3` `associate-r` `*-commutative` `flip--`

Counts

4 → 147

Calls

4 calls:

18.0ms	(* (pow (pow (log c) 2) 1/3) (* (cbrt (log c)) (- b 0.5)))
1.0ms	(cbrt (log c))
3.0ms	(pow (log c) 2)
4.0ms	(pow (pow (log c) 2) 1/3)

series792.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(* (pow (pow (log c) 2) 1/3) (* (cbrt (log c)) (- b 0.5)))
265.0ms	(cbrt (log c))
151.0ms	(pow (log c) 2)
279.0ms	(pow (pow (log c) 2) 1/3)

simplify79.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	621	1749
1	2338	1368
2	5001	1345

prune678.0ms

Filtered

159 candidates to 74 candidates (46.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	158	1	159
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	159	8	167

Merged error: 0.0b

Counts

167 → 8

regimes576.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	14
1	29	14

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.5s	27920×	body	80	nan
566.0ms	9185×	body	80	valid
1.0ms	2×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid