Details

sample109.0ms

Algorithm

intervals

Results

22.0ms	43×	body	10240	exit
22.0ms	40×	body	1280	valid
18.0ms	60×	body	640	valid
11.0ms	8×	body	2560	valid
6.0ms	104×	body	80	valid
6.0ms	32×	body	320	valid
4.0ms	87×	body	80	nan
2.0ms	14×	body	160	valid
1.0ms	7×	body	640	nan
1.0ms	2×	body	1280	nan
0.0ms	3×	body	320	nan
0.0ms	1×	body	160	nan

simplify209.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.1b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
1.8b	(log (+ (- 1.0 y) (* y (exp z))))
2.3b	(+ (- 1.0 y) (* y (exp z)))

rewrite27.0ms

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))
8.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
5.0ms	(log (+ (- 1.0 y) (* y (exp z))))
6.0ms	(+ (- 1.0 y) (* y (exp z)))

series289.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* y (exp z))
158.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
75.0ms	(log (+ (- 1.0 y) (* y (exp z))))
35.0ms	(+ (- 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

prune302.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 7.0b

localize23.0ms

Local error

Found 4 expressions with local error:

4.7b	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
5.9b	(/ (* z y) t)
6.2b	(/ (* (pow z 2) y) t)
8.1b	(* (pow z 2) y)

rewrite31.0ms

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:

12.0ms	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
4.0ms	(/ (* z y) t)
6.0ms	(/ (* (pow z 2) y) t)
6.0ms	(* (pow z 2) y)

series146.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
24.0ms	(/ (* z y) t)
18.0ms	(/ (* (pow z 2) y) t)
17.0ms	(* (pow z 2) y)

simplify68.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	492	659
1	2299	586
2	5001	586

prune341.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.4b

localize25.0ms

Local error

Found 4 expressions with local error:

4.7b	(+ (* 1.0 (* (* z y) (/ 1 t))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
6.0b	(* (* z y) (/ 1 t))
6.2b	(/ (* (pow z 2) y) t)
8.1b	(* (pow z 2) y)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

15.0ms	(+ (* 1.0 (* (* z y) (/ 1 t))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
8.0ms	(* (* z y) (/ 1 t))
6.0ms	(/ (* (pow z 2) y) t)
5.0ms	(* (pow z 2) y)

series147.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(+ (* 1.0 (* (* z y) (/ 1 t))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
23.0ms	(* (* z y) (/ 1 t))
18.0ms	(/ (* (pow z 2) y) t)
18.0ms	(* (pow z 2) y)

simplify96.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	673	881
1	3458	770
2	5001	752

prune372.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 5.4b

localize18.0ms

Local error

Found 4 expressions with local error:

4.7b	(+ (* 1.0 (* z (/ y t))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
5.4b	(* z (/ y t))
6.2b	(/ (* (pow z 2) y) t)
8.1b	(* (pow z 2) y)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

13.0ms	(+ (* 1.0 (* z (/ y t))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
6.0ms	(* z (/ y t))
6.0ms	(/ (* (pow z 2) y) t)
5.0ms	(* (pow z 2) y)

series146.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(+ (* 1.0 (* z (/ y t))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
18.0ms	(* z (/ y t))
19.0ms	(/ (* (pow z 2) y) t)
21.0ms	(* (pow z 2) y)

simplify81.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	558	708
1	2772	632
2	5001	632

prune350.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 5.4b

regimes733.0ms

Accuracy

75% (4.2b remaining)

Error of 8.1b against oracle of 3.9b and baseline of 20.6b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	35
1	46	35

end0.0ms

sample3.2s

Algorithm

intervals

Results

793.0ms	1573×	body	10240	exit
740.0ms	1401×	body	1280	valid
465.0ms	1534×	body	640	valid
217.0ms	3560×	body	80	valid
180.0ms	952×	body	320	valid
125.0ms	99×	body	2560	valid
102.0ms	2446×	body	80	nan
55.0ms	262×	body	640	nan
54.0ms	479×	body	160	valid
34.0ms	106×	body	1280	nan
24.0ms	175×	body	320	nan
11.0ms	124×	body	160	nan