Details

sample125.0ms

Algorithm

intervals

Results

50.0ms	894×	body	80	nan
17.0ms	289×	body	80	valid

simplify37.0ms

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 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)

rewrite8.0ms

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`
1×	`+-commutative` `associate-+l+` `associate-+r+` `flip3-+` `flip-+`

Counts

4 → 51

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:

664.0ms	(fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
98.0ms	(+ (fma x (log y) z) (+ t a))
342.0ms	(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
53.0ms	(fma x (log y) z)

simplify75.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	209	399
1	681	352
2	3384	347
3	5001	346

prune257.0ms

Filtered

63 candidates to 54 candidates (85.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	59	4	63
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	61	4	65

Merged error: 0.1b

Counts

65 → 4

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))
0.2b	(fma x (log y) z)

rewrite31.0ms

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:

5.0ms	(+ (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)

series623.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(+ (fma x (log y) z) (+ t a))
391.0ms	(+ (* (log c) (- b 0.5)) (+ (fma x (log y) z) (+ t a)))
93.0ms	(* (log c) (- b 0.5))
54.0ms	(fma x (log y) z)

simplify74.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (57.0ms)

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

prune517.0ms

Filtered

133 candidates to 92 candidates (69.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

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

Merged error: 0.1b

Counts

137 → 7

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (- b 0.5))
0.3b	(* (log c) (* (cbrt (- b 0.5)) (cbrt (- b 0.5))))
0.4b	(* (* (log c) (* (cbrt (- b 0.5)) (cbrt (- b 0.5)))) (cbrt (- b 0.5)))
0.8b	(* (cbrt (- b 0.5)) (cbrt (- b 0.5)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

80×	`cbrt-div`
44×	`associate-*r/`
40×	`flip3--` `flip--`
38×	`cbrt-prod`
37×	`add-sqr-sqrt`
36×	`frac-times`
34×	`*-un-lft-identity`
26×	`pow1`
20×	`add-exp-log`
18×	`associate-*l/`
17×	`associate-r`
16×	`add-cube-cbrt`
13×	`associate-l`
11×	`pow-prod-down` `add-cbrt-cube`
10×	`swap-sqr` `prod-exp` `cbrt-unprod`
8×	`distribute-lft-out--`
7×	`pow1/3`
6×	`difference-of-squares`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `log-pow`

Counts

4 → 159

Calls

4 calls:

3.0ms	(cbrt (- b 0.5))
12.0ms	(* (log c) (* (cbrt (- b 0.5)) (cbrt (- b 0.5))))
19.0ms	(* (* (log c) (* (cbrt (- b 0.5)) (cbrt (- b 0.5)))) (cbrt (- b 0.5)))
10.0ms	(* (cbrt (- b 0.5)) (cbrt (- b 0.5)))

series541.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(cbrt (- b 0.5))
200.0ms	(* (log c) (* (cbrt (- b 0.5)) (cbrt (- b 0.5))))
108.0ms	(* (* (log c) (* (cbrt (- b 0.5)) (cbrt (- b 0.5)))) (cbrt (- b 0.5)))
128.0ms	(* (cbrt (- b 0.5)) (cbrt (- b 0.5)))

simplify93.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	832	1907
1	3147	1727
2	5002	1636

prune651.0ms

Filtered

171 candidates to 105 candidates (61.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	170	1	171
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	170	8	178

Merged error: 0.1b

Counts

178 → 8

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (log c))
0.5b	(cbrt (log c))
0.5b	(cbrt (log c))
0.8b	(* (cbrt (- b 0.5)) (cbrt (- b 0.5)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

40×	`cbrt-prod`
31×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
15×	`add-cube-cbrt`
14×	`pow1`
12×	`cbrt-div`
10×	`swap-sqr`
9×	`pow1/3`
8×	`associate-r` `associate-l`
6×	`add-exp-log` `flip3--` `flip--` `distribute-lft-out--`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `difference-of-squares` `unswap-sqr`
3×	`log-pow`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 100

Calls

4 calls:

2.0ms	(cbrt (log c))
1.0ms	(cbrt (log c))
1.0ms	(cbrt (log c))
11.0ms	(* (cbrt (- b 0.5)) (cbrt (- b 0.5)))

series930.0ms

Counts

4 → 12

Calls

4 calls:

265.0ms	(cbrt (log c))
267.0ms	(cbrt (log c))
273.0ms	(cbrt (log c))
125.0ms	(* (cbrt (- b 0.5)) (cbrt (- b 0.5)))

simplify130.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 3 (121.0ms)

Iter	Nodes	Cost
0	302	684
1	997	641
2	4281	580
3	5001	579

prune454.0ms

Filtered

112 candidates to 74 candidates (66.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	111	9	120

Merged error: 0.1b

Counts

120 → 9

regimes607.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	9
1	22	9

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.5s	27665×	body	80	nan
567.0ms	9189×	body	80	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid