Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify139.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (10.0ms)

Iter	Nodes	Cost
0	31	9
1	59	9
2	90	9
3	116	7
4	130	7
5	148	7
6	188	7
7	264	7
8	304	7
9	377	7
10	580	7
11	851	7
12	1402	7
13	2787	7
14	3168	7
15	4321	7
16	5001	7

prune6.0ms

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: 0.0b

Counts

2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (- x) 0.70711 (/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)))
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.1b	(* 0.70711 (fma 0.27061 x 2.30753))
12.8b	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1`
4×	`expm1-log1p-u` `fma-udef` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `associate-r` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 65

Calls

4 calls:

1.0ms	(fma (- x) 0.70711 (/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)))
1.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
3.0ms	(* 0.70711 (fma 0.27061 x 2.30753))
4.0ms	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

series214.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(fma (- x) 0.70711 (/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)))
26.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
48.0ms	(* 0.70711 (fma 0.27061 x 2.30753))
72.0ms	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify39.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	272	452
1	1121	382
2	5002	382

prune169.0ms

Filtered

77 candidates to 59 candidates (76.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	2	78

Merged error: 0b

Counts

78 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (- x) 0.70711 (/ 0.70711 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))))
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.1b	(/ 0.70711 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)))
12.8b	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
54×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r*`
11×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `fma-udef`
1×	`associate-/r/`

Counts

4 → 121

Calls

4 calls:

1.0ms	(fma (- x) 0.70711 (/ 0.70711 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))))
1.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
5.0ms	(/ 0.70711 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)))
3.0ms	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))

series224.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(fma (- x) 0.70711 (/ 0.70711 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))))
27.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
67.0ms	(/ 0.70711 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)))
59.0ms	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))

simplify59.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	484	1223
1	1966	1137
2	5003	1136

prune326.0ms

Filtered

133 candidates to 111 candidates (83.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	133	2	135

Merged error: 0b

Counts

135 → 2

localize18.0ms

Local error

Found 4 expressions with local error:

5.2b	(* (/ 0.70711 (* (cbrt (fma x (fma 0.04481 x 0.99229) 1.0)) (cbrt (fma x (fma 0.04481 x 0.99229) 1.0)))) (/ (fma 0.27061 x 2.30753) (cbrt (fma x (fma 0.04481 x 0.99229) 1.0))))
13.1b	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))
13.1b	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))
13.1b	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
28×	`times-frac`
25×	`add-exp-log`
22×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
20×	`cbrt-prod`
18×	`add-cbrt-cube`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 100

Calls

4 calls:

14.0ms	(* (/ 0.70711 (* (cbrt (fma x (fma 0.04481 x 0.99229) 1.0)) (cbrt (fma x (fma 0.04481 x 0.99229) 1.0)))) (/ (fma 0.27061 x 2.30753) (cbrt (fma x (fma 0.04481 x 0.99229) 1.0))))
1.0ms	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))
1.0ms	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))
1.0ms	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))

series503.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* (/ 0.70711 (* (cbrt (fma x (fma 0.04481 x 0.99229) 1.0)) (cbrt (fma x (fma 0.04481 x 0.99229) 1.0)))) (/ (fma 0.27061 x 2.30753) (cbrt (fma x (fma 0.04481 x 0.99229) 1.0))))
145.0ms	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))
141.0ms	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))
143.0ms	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))

simplify77.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	612	1651
1	2873	1449
2	5002	1355

prune367.0ms

Filtered

112 candidates to 94 candidates (83.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	112	2	114

Merged error: 0b

Counts

114 → 2

regimes12.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	7

end0.0ms

sample364.0ms

Algorithm

intervals

Results

275.0ms

8000×

body

valid