Details

sample102.0ms

Algorithm

intervals

Results

23.0ms	45×	body	1280	valid
22.0ms	44×	body	10240	exit
16.0ms	55×	body	640	valid
7.0ms	116×	body	80	valid
5.0ms	4×	body	2560	valid
4.0ms	20×	body	320	valid
3.0ms	82×	body	80	nan
2.0ms	16×	body	160	valid
2.0ms	5×	body	1280	nan
1.0ms	7×	body	640	nan
0.0ms	3×	body	320	nan
0.0ms	1×	body	160	nan

simplify208.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 25.1b

localize15.0ms

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))))
2.6b	(+ (- 1.0 y) (* y (exp z)))

rewrite51.0ms

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))
22.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
9.0ms	(log (+ (- 1.0 y) (* y (exp z))))
13.0ms	(+ (- 1.0 y) (* y (exp z)))

series294.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* y (exp z))
159.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
72.0ms	(log (+ (- 1.0 y) (* y (exp z))))
42.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify58.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (44.0ms)

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

prune267.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 4.9b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (exp z) 1) y)
0.1b	(/ (log (+ 1.0 (* (- (exp z) 1) y))) t)
1.4b	(log (+ 1.0 (* (- (exp z) 1) y)))
3.2b	(- (exp z) 1)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
16×	`add-cube-cbrt`
12×	`times-frac`
11×	`pow1`
9×	`add-exp-log`
8×	`add-cbrt-cube`
7×	`associate-l`
6×	`add-log-exp`
5×	`log-pow`
4×	`log-div` `associate-/l*` `difference-of-squares`
3×	`log-prod` `associate-r` `associate-/r*`
2×	`flip3--` `flip3-+` `difference-of-sqr-1` `div-sub` `associate-*l/` `flip--` `flip-+` `distribute-lft-out--`
1×	`cbrt-undiv` `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 → 87

Calls

4 calls:

15.0ms	(* (- (exp z) 1) y)
6.0ms	(/ (log (+ 1.0 (* (- (exp z) 1) y))) t)
2.0ms	(log (+ 1.0 (* (- (exp z) 1) y)))
4.0ms	(- (exp z) 1)

series236.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (- (exp z) 1) y)
118.0ms	(/ (log (+ 1.0 (* (- (exp z) 1) y))) t)
61.0ms	(log (+ 1.0 (* (- (exp z) 1) y)))
14.0ms	(- (exp z) 1)

simplify51.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	446	792
1	1780	735
2	5001	726

prune271.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 4.9b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (exp z) 1) y)
0.1b	(* (log (+ 1.0 (* (- (exp z) 1) y))) (/ 1 t))
1.4b	(log (+ 1.0 (* (- (exp z) 1) y)))
3.2b	(- (exp z) 1)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
16×	`add-exp-log` `associate-r`
15×	`add-cube-cbrt`
11×	`times-frac` `associate-l` `add-cbrt-cube`
10×	`pow1`
6×	`add-log-exp`
5×	`prod-exp`
4×	`difference-of-squares` `unswap-sqr`
3×	`log-prod` `cbrt-unprod`
2×	`log-div` `flip3--` `difference-of-sqr-1` `div-exp` `pow-prod-down` `associate-l/` `log-pow` `-commutative` `flip--` `distribute-lft-out--`
1×	`cbrt-undiv` `sub-neg` `rec-exp` `flip3-+` `diff-log` `1-exp` `associate-*r/` `rem-log-exp` `un-div-inv` `flip-+` `div-inv`

Counts

4 → 91

Calls

4 calls:

18.0ms	(* (- (exp z) 1) y)
9.0ms	(* (log (+ 1.0 (* (- (exp z) 1) y))) (/ 1 t))
2.0ms	(log (+ 1.0 (* (- (exp z) 1) y)))
4.0ms	(- (exp z) 1)

series228.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (- (exp z) 1) y)
122.0ms	(* (log (+ 1.0 (* (- (exp z) 1) y))) (/ 1 t))
55.0ms	(log (+ 1.0 (* (- (exp z) 1) y)))
13.0ms	(- (exp z) 1)

simplify62.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	531	785
1	2362	688
2	5001	688

prune493.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 4.9b

localize20.0ms

Local error

Found 4 expressions with local error:

1.4b	(log (+ 1.0 (* (- (exp z) 1) y)))
3.2b	(- (exp z) 1)
3.2b	(- (exp z) 1)
3.2b	(- (exp z) 1)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
10×	`add-log-exp`
6×	`difference-of-squares`
5×	`pow1` `add-exp-log` `add-cube-cbrt`
4×	`add-cbrt-cube`
3×	`sub-neg` `log-prod` `flip3--` `diff-log` `difference-of-sqr-1` `flip--` `distribute-lft-out--`
2×	`log-div`
1×	`flip3-+` `rem-log-exp` `log-pow` `flip-+`

Counts

4 → 62

Calls

4 calls:

2.0ms	(log (+ 1.0 (* (- (exp z) 1) y)))
4.0ms	(- (exp z) 1)
4.0ms	(- (exp z) 1)
4.0ms	(- (exp z) 1)

series99.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(log (+ 1.0 (* (- (exp z) 1) y)))
17.0ms	(- (exp z) 1)
13.0ms	(- (exp z) 1)
13.0ms	(- (exp z) 1)

simplify146.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	259	421
1	998	385
2	4862	377
3	5001	377

prune286.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 4.9b

regimes252.0ms

Accuracy

57.8% (4.4b remaining)

Error of 9.2b against oracle of 4.8b and baseline of 15.2b

bsearch121.0ms

Steps

Iters	Range		Point
6	6.346608773331219e-226	3.599959993217496e-225	3.4446276387824773e-225
6	-3.617724343655394e-05	-3.563044520560046e-06	-4.2011862993899546e-06

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	27
1	58	27

end0.0ms

sample3.2s

Algorithm

intervals

Results

779.0ms	1427×	body	1280	valid
750.0ms	1474×	body	10240	exit
476.0ms	1574×	body	640	valid
215.0ms	3533×	body	80	valid
174.0ms	907×	body	320	valid
105.0ms	80×	body	2560	valid
94.0ms	2494×	body	80	nan
58.0ms	510×	body	160	valid
55.0ms	261×	body	640	nan
37.0ms	119×	body	1280	nan
27.0ms	197×	body	320	nan
9.0ms	98×	body	160	nan