Details

sample155.0ms

Algorithm

intervals

Results

38.0ms	51×	body	10240	exit
35.0ms	43×	body	1280	valid
22.0ms	52×	body	640	valid
11.0ms	114×	body	80	valid
8.0ms	29×	body	320	valid
7.0ms	99×	body	80	nan
4.0ms	11×	body	640	nan
3.0ms	18×	body	160	valid
3.0ms	1×	body	2560	valid
2.0ms	7×	body	320	nan
1.0ms	2×	body	1280	nan
0.0ms	2×	body	160	nan

simplify203.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	7
1	33	7
2	49	7
3	71	7
4	93	7
5	180	7
6	232	7
7	411	7
8	710	7
9	1092	7
10	1240	7
11	1558	7
12	4191	7
13	5001	7

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.7b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
1.9b	(log (+ (- 1.0 y) (* y (exp z))))
3.6b	(+ (- 1.0 y) (* y (exp z)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
11×	`pow1`
9×	`add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
5×	`log-pow`
4×	`log-div` `associate-/l*`
3×	`log-prod` `flip3-+` `associate-r` `associate-l` `associate-/r*` `flip-+`
2×	`associate-+l+` `div-sub` `sum-log`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `sub-neg` `frac-2neg` `diff-log` `div-exp` `rem-log-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

5.0ms	(* y (exp z))
23.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
11.0ms	(log (+ (- 1.0 y) (* y (exp z))))
13.0ms	(+ (- 1.0 y) (* y (exp z)))

series72.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* y (exp z))
45.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
14.0ms	(log (+ (- 1.0 y) (* y (exp z))))
6.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify50.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	452	795
1	1740	733
2	5001	726

prune786.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 3.8b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
2.4b	(log (+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (exp z)))))
13.9b	(+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (exp z))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube`
3×	`log-prod`
2×	`log-div` `associate-+l+` `flip3-+` `pow1/3` `sum-log` `flip-+`
1×	`+-commutative` `associate-+l-` `sub-neg` `diff-log` `rem-log-exp` `log-pow`

Counts

4 → 51

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
12.0ms	(log (+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (exp z)))))
17.0ms	(+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (exp z))))

series45.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(cbrt y)
9.0ms	(cbrt y)
17.0ms	(log (+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (exp z)))))
9.0ms	(+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (exp z))))

simplify37.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	289	602
1	1035	526
2	5001	488

prune679.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 3.8b

localize20.0ms

Local error

Found 4 expressions with local error:

2.7b	(log (cbrt (+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (exp z))))))
2.7b	(log (cbrt (+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (exp z))))))
13.9b	(+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (exp z))))
13.9b	(+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (exp z))))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-log-exp`
12×	`log-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `cbrt-prod`
4×	`log-div` `associate-+l+` `cbrt-div` `flip3-+` `sum-log` `log-pow` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `associate-+l-` `sub-neg` `pow1/3` `diff-log` `rem-log-exp`

Counts

4 → 66

Calls

4 calls:

12.0ms	(log (cbrt (+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (exp z))))))
12.0ms	(log (cbrt (+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (exp z))))))
16.0ms	(+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (exp z))))
15.0ms	(+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (exp z))))

series95.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(log (cbrt (+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (exp z))))))
39.0ms	(log (cbrt (+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (exp z))))))
9.0ms	(+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (exp z))))
9.0ms	(+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (exp z))))

simplify144.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (133.0ms)

Iter	Nodes	Cost
0	291	1264
1	964	1148
2	4690	1072
3	5001	1032

prune1.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 3.8b

localize16.0ms

Local error

Found 4 expressions with local error:

2.3b	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
4.3b	(/ (* z y) t)
7.4b	(/ (* (pow z 2) y) t)
8.5b	(* (pow z 2) y)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-exp-log`
17×	`add-sqr-sqrt`
16×	`add-cbrt-cube`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`add-log-exp`
8×	`associate-l`
7×	`prod-exp`
6×	`times-frac` `div-exp` `associate-/r*`
4×	`pow1` `cbrt-undiv` `unpow-prod-down` `associate-*r/` `frac-add` `unswap-sqr`
3×	`associate-r` `sum-log` `cbrt-unprod`
2×	`pow-to-exp` `frac-2neg` `flip3-+` `pow-exp` `clear-num` `flip-+` `div-inv` `associate-/l*` `unpow2` `sqr-pow`
1×	`+-commutative` `associate-+r+` `*-commutative`

Counts

4 → 87

Calls

4 calls:

31.0ms	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
3.0ms	(/ (* z y) t)
6.0ms	(/ (* (pow z 2) y) t)
6.0ms	(* (pow z 2) y)

series33.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
5.0ms	(/ (* z y) t)
6.0ms	(/ (* (pow z 2) y) t)
4.0ms	(* (pow z 2) y)

simplify66.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	493	665
1	2355	586
2	5002	586

prune813.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 3.4b

regimes1.1s

Accuracy

70.3% (5.2b remaining)

Error of 9.1b against oracle of 3.9b and baseline of 21.5b

bsearch95.0ms

Steps

Iters	Range		Point
5	4.2185849944799077e-221	9.771091612138487e-221	9.274120679861768e-221
7	-91.73841076085421	-0.49115008736797033	-0.4984438493979181

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	43
1	60	43

end0.0ms

sample4.4s

Algorithm

intervals

Results

1.1s	1483×	body	10240	exit
1.0s	1451×	body	1280	valid
679.0ms	1536×	body	640	valid
350.0ms	3588×	body	80	valid
264.0ms	886×	body	320	valid
176.0ms	2409×	body	80	nan
103.0ms	66×	body	2560	valid
94.0ms	500×	body	160	valid
90.0ms	259×	body	640	nan
54.0ms	112×	body	1280	nan
48.0ms	196×	body	320	nan
18.0ms	113×	body	160	nan