Details

sample84.0ms

Algorithm

intervals

Results

36.0ms	97×	body	2560	valid
19.0ms	87×	body	1280	valid
6.0ms	234×	body	80	nan
5.0ms	36×	body	640	valid
2.0ms	16×	body	320	valid
1.0ms	11×	body	160	valid
0.0ms	9×	body	80	valid

simplify101.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	7
1	43	7
2	84	7
3	155	7
4	262	7
5	454	7
6	2878	7
7	5001	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (* 5.0 (* v v)))
0.0b	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.2b	(* 5.0 (* v v))
0.6b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
11×	`add-exp-log` `add-cbrt-cube`
9×	`pow1`
6×	`add-log-exp`
4×	`expm1-log1p-u` `associate-/r*` `log1p-expm1-u` `difference-of-squares`
3×	`flip3--` `fma-neg` `associate-l` `prod-diff` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `associate-/l*`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `acos-asin` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `associate-r` `clear-num` `*-commutative` `div-inv` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

6.0ms	(- 1.0 (* 5.0 (* v v)))
27.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
16.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series175.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(- 1.0 (* 5.0 (* v v)))
83.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
25.0ms	(* 5.0 (* v v))
5.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify44.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	391	750
1	1491	682
2	5002	678

prune235.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 (* 5.0 (* v v))) (fma (- 1.0) 1.0 (pow v 4)))
0.0b	(* (/ (- 1.0 (* 5.0 (* v v))) (fma (- 1.0) 1.0 (pow v 4))) (+ (* v v) 1.0))
0.2b	(* 5.0 (* v v))
0.6b	(acos (* (/ (- 1.0 (* 5.0 (* v v))) (fma (- 1.0) 1.0 (pow v 4))) (+ (* v v) 1.0)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
16×	`add-exp-log` `associate-l` `add-cbrt-cube`
11×	`pow1`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `flip3-+` `associate-r/` `div-exp` `-commutative` `flip-+` `div-inv` `associate-/l/`
1×	`distribute-rgt-in` `acos-asin` `flip3--` `frac-2neg` `distribute-lft-in` `div-sub` `associate-*l/` `clear-num` `flip--`

Counts

4 → 103

Calls

4 calls:

14.0ms	(/ (- 1.0 (* 5.0 (* v v))) (fma (- 1.0) 1.0 (pow v 4)))
42.0ms	(* (/ (- 1.0 (* 5.0 (* v v))) (fma (- 1.0) 1.0 (pow v 4))) (+ (* v v) 1.0))
16.0ms	(* 5.0 (* v v))
2.0ms	(acos (* (/ (- 1.0 (* 5.0 (* v v))) (fma (- 1.0) 1.0 (pow v 4))) (+ (* v v) 1.0)))

series256.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(/ (- 1.0 (* 5.0 (* v v))) (fma (- 1.0) 1.0 (pow v 4)))
133.0ms	(* (/ (- 1.0 (* 5.0 (* v v))) (fma (- 1.0) 1.0 (pow v 4))) (+ (* v v) 1.0))
25.0ms	(* 5.0 (* v v))
10.0ms	(acos (* (/ (- 1.0 (* 5.0 (* v v))) (fma (- 1.0) 1.0 (pow v 4))) (+ (* v v) 1.0)))

simplify68.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	608	1223
1	2733	1091
2	5001	1088

prune354.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.5b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (fma (- 1.0) 1.0 (pow v 4)))
0.0b	(cbrt (fma (- 1.0) 1.0 (pow v 4)))
0.2b	(* 5.0 (* v v))
0.6b	(acos (* (/ 1 (* (cbrt (fma (- 1.0) 1.0 (pow v 4))) (cbrt (fma (- 1.0) 1.0 (pow v 4))))) (* (fma v v 1.0) (/ (- 1.0 (* 5.0 (* v v))) (cbrt (fma (- 1.0) 1.0 (pow v 4)))))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3`
1×	`acos-asin` `associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 57

Calls

4 calls:

1.0ms	(cbrt (fma (- 1.0) 1.0 (pow v 4)))
1.0ms	(cbrt (fma (- 1.0) 1.0 (pow v 4)))
20.0ms	(* 5.0 (* v v))
2.0ms	(acos (* (/ 1 (* (cbrt (fma (- 1.0) 1.0 (pow v 4))) (cbrt (fma (- 1.0) 1.0 (pow v 4))))) (* (fma v v 1.0) (/ (- 1.0 (* 5.0 (* v v))) (cbrt (fma (- 1.0) 1.0 (pow v 4)))))))

series1.9s

Counts

4 → 12

Calls

4 calls:

856.0ms	(cbrt (fma (- 1.0) 1.0 (pow v 4)))
1.0s	(cbrt (fma (- 1.0) 1.0 (pow v 4)))
25.0ms	(* 5.0 (* v v))
11.0ms	(acos (* (/ 1 (* (cbrt (fma (- 1.0) 1.0 (pow v 4))) (cbrt (fma (- 1.0) 1.0 (pow v 4))))) (* (fma v v 1.0) (/ (- 1.0 (* 5.0 (* v v))) (cbrt (fma (- 1.0) 1.0 (pow v 4)))))))

simplify108.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (102.0ms)

Iter	Nodes	Cost
0	263	674
1	842	596
2	3625	590
3	5001	578

prune282.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.5b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
0.0b	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.2b	(* 5.0 (* v v))
0.6b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
12×	`add-exp-log` `times-frac`
11×	`add-cbrt-cube`
10×	`pow1`
4×	`expm1-log1p-u` `associate-/r*` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
3×	`log-prod` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `associate-/l*`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `acos-asin` `frac-2neg` `div-sub` `div-exp` `rem-log-exp` `associate-r` `clear-num` `log-pow` `*-commutative` `div-inv` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

1.0ms	(log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
27.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
16.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series188.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
80.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
25.0ms	(* 5.0 (* v v))
4.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify40.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	365	815
1	1316	733
2	5002	731

prune248.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.5b

regimes134.0ms

Accuracy

0% (0.0b remaining)

Error of 0.5b against oracle of 0.5b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	22
1	24	22

end0.0ms

sample2.3s

Algorithm

intervals

Results

956.0ms	2951×	body	2560	valid
536.0ms	2518×	body	1280	valid
209.0ms	7921×	body	80	nan
191.0ms	1258×	body	640	valid
73.0ms	635×	body	320	valid
33.0ms	431×	body	160	valid
12.0ms	207×	body	80	valid