Details

sample78.0ms

Algorithm

intervals

Results

31.0ms	92×	body	2560	valid
18.0ms	80×	body	1280	valid
7.0ms	46×	body	640	valid
7.0ms	245×	body	80	nan
2.0ms	18×	body	320	valid
1.0ms	14×	body	160	valid
0.0ms	6×	body	80	valid

simplify100.0ms

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

localize8.0ms

Local error

Found 3 expressions with local error:

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)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 69

Calls

3 calls:

11.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
7.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series116.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
29.0ms	(* 5.0 (* v v))
3.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify41.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	349	623
1	1288	567
2	5001	565

prune172.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.6b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
0.0b	(expm1 (log1p (acos (/ (- 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)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 53

Calls

4 calls:

0.0ms	(log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
0.0ms	(expm1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
7.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series244.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
128.0ms	(expm1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
26.0ms	(* 5.0 (* v v))
3.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify120.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	152	473
1	385	408
2	992	406
3	3312	406
4	5001	406

prune138.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.6b

localize13.0ms

Local error

Found 3 expressions with local error:

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)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`associate-l`
13×	`add-exp-log` `add-cbrt-cube`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow1` `times-frac`
5×	`prod-exp` `cbrt-unprod`
4×	`associate-r` `pow-prod-down`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`frac-times` `flip3-+` `associate-r/` `-commutative` `flip-+`
1×	`cbrt-undiv` `distribute-rgt-in` `acos-asin` `distribute-lft-in` `div-exp` `associate-*l/` `div-inv`

Counts

3 → 71

Calls

3 calls:

20.0ms	(* (/ (- 1.0 (* 5.0 (* v v))) (fma (- 1.0) 1.0 (pow v 4))) (+ (* v v) 1.0))
9.0ms	(* 5.0 (* v v))
1.0ms	(acos (* (/ (- 1.0 (* 5.0 (* v v))) (fma (- 1.0) 1.0 (pow v 4))) (+ (* v v) 1.0)))

series166.0ms

Counts

3 → 9

Calls

3 calls:

131.0ms	(* (/ (- 1.0 (* 5.0 (* v v))) (fma (- 1.0) 1.0 (pow v 4))) (+ (* v v) 1.0))
25.0ms	(* 5.0 (* v v))
9.0ms	(acos (* (/ (- 1.0 (* 5.0 (* v v))) (fma (- 1.0) 1.0 (pow v 4))) (+ (* v v) 1.0)))

simplify57.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	497	817
1	2191	717
2	5001	707

prune237.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.6b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p (acos (* (/ (- 1.0 (* 5.0 (* v v))) (fma (- 1.0) 1.0 (pow v 4))) (+ (* v v) 1.0))))
0.0b	(expm1 (log1p (acos (* (/ (- 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)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 53

Calls

4 calls:

0.0ms	(log1p (acos (* (/ (- 1.0 (* 5.0 (* v v))) (fma (- 1.0) 1.0 (pow v 4))) (+ (* v v) 1.0))))
0.0ms	(expm1 (log1p (acos (* (/ (- 1.0 (* 5.0 (* v v))) (fma (- 1.0) 1.0 (pow v 4))) (+ (* v v) 1.0)))))
7.0ms	(* 5.0 (* v v))
1.0ms	(acos (* (/ (- 1.0 (* 5.0 (* v v))) (fma (- 1.0) 1.0 (pow v 4))) (+ (* v v) 1.0)))

series343.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(log1p (acos (* (/ (- 1.0 (* 5.0 (* v v))) (fma (- 1.0) 1.0 (pow v 4))) (+ (* v v) 1.0))))
183.0ms	(expm1 (log1p (acos (* (/ (- 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)))

simplify51.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	177	665
1	493	576
2	1360	574
3	5002	574

prune168.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.6b

regimes80.0ms

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	19	13
1	19	13

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.1s	3068×	body	2560	valid
563.0ms	2476×	body	1280	valid
225.0ms	8249×	body	80	nan
198.0ms	1225×	body	640	valid
73.0ms	605×	body	320	valid
34.0ms	417×	body	160	valid
10.0ms	209×	body	80	valid