Details

sample114.0ms

Algorithm

intervals

Results

29.0ms	58×	body	10240	exit
23.0ms	44×	body	1280	valid
15.0ms	50×	body	640	valid
7.0ms	108×	body	80	valid
6.0ms	34×	body	320	valid
6.0ms	3×	body	2560	valid
3.0ms	82×	body	80	nan
2.0ms	19×	body	160	valid
1.0ms	3×	body	1280	nan
1.0ms	6×	body	640	nan
1.0ms	5×	body	320	nan
0.0ms	4×	body	160	nan

simplify207.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	7
1	35	7
2	53	7
3	81	7
4	121	7
5	250	7
6	314	7
7	532	7
8	908	7
9	1397	7
10	1553	7
11	1892	7
12	4682	7
13	5001	7

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 25.2b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (log (+ (- 1.0 y) (* y (exp z)))) t))
0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
1.7b	(log (+ (- 1.0 y) (* y (exp z))))
4.2b	(+ (- 1.0 y) (* y (exp z)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

69×	`add-sqr-sqrt`
66×	`*-un-lft-identity`
62×	`add-cube-cbrt`
57×	`prod-diff`
49×	`times-frac`
18×	`pow1`
14×	`log-pow`
11×	`associate-+l+` `add-log-exp`
7×	`add-exp-log`
6×	`log-div` `add-cbrt-cube`
5×	`fma-def`
4×	`expm1-log1p-u` `flip3-+` `div-sub` `flip-+` `log1p-expm1-u` `div-inv` `associate-/l*`
3×	`log-prod` `fma-neg` `associate-/r*` `difference-of-squares`
2×	`sub-neg` `diff-log` `sum-log` `distribute-lft-out--` `associate--r-`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `flip3--` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `flip--`

Counts

4 → 152

Calls

4 calls:

10.0ms	(- x (/ (log (+ (- 1.0 y) (* y (exp z)))) t))
8.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
5.0ms	(log (+ (- 1.0 y) (* y (exp z))))
8.0ms	(+ (- 1.0 y) (* y (exp z)))

series351.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(- x (/ (log (+ (- 1.0 y) (* y (exp z)))) t))
164.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
79.0ms	(log (+ (- 1.0 y) (* y (exp z))))
34.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify84.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	767	3354
1	2882	2271
2	5002	2028

prune400.0ms

Filtered

164 candidates to 102 candidates (62.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	154	10	164
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	155	10	165

Merged error: 4.8b

Counts

165 → 10

localize9.0ms

Local error

Found 1 expressions with local error:

4.3b	(/ (* z y) t)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-/r`
2×	`cbrt-undiv` `div-exp`
1×	`pow1` `expm1-log1p-u` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 23

Calls

1 calls:

4.0ms

(/ (* z y) t)

series18.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

(/ (* z y) t)

simplify56.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	113	91
1	516	76
2	2473	76
3	5002	76

prune95.0ms

Filtered

26 candidates to 18 candidates (69.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	22	4	26
Fresh	0	9	9
Picked	1	0	1
Done	0	0	0
Total	23	13	36

Merged error: 4.2b

Counts

36 → 13

localize11.0ms

Local error

Found 1 expressions with local error:

4.4b	(* (* z y) (/ 1 t))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log`
13×	`associate-r` `add-cbrt-cube`
12×	`prod-exp`
9×	`times-frac`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `cbrt-unprod`
4×	`div-exp`
3×	`pow-prod-down`
2×	`cbrt-undiv` `rec-exp` `1-exp`
1×	`expm1-log1p-u` `associate-r/` `associate-l` `un-div-inv` `-commutative` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 40

Calls

1 calls:

8.0ms

(* (* z y) (/ 1 t))

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

(* (* z y) (/ 1 t))

simplify36.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	246	191
1	1261	149
2	5001	135

prune116.0ms

Filtered

43 candidates to 22 candidates (51.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	0	12	12
Picked	1	0	1
Done	0	0	0
Total	43	13	56

Merged error: 4.2b

Counts

56 → 13

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
1.2b	(/ (/ (* z y) (* (cbrt t) (cbrt t))) (cbrt t))
3.2b	(/ (* z y) (* (cbrt t) (cbrt t)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

38×	`times-frac`
34×	`add-exp-log`
25×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`cbrt-prod`
21×	`add-cbrt-cube`
13×	`cbrt-undiv` `div-exp`
9×	`div-inv`
8×	`prod-exp` `cbrt-unprod`
7×	`associate-/r*`
6×	`associate-/l*`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `pow1/3` `clear-num`
1×	`associate-/l/`

Counts

4 → 113

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
10.0ms	(/ (/ (* z y) (* (cbrt t) (cbrt t))) (cbrt t))
7.0ms	(/ (* z y) (* (cbrt t) (cbrt t)))

series519.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt t)
169.0ms	(cbrt t)
47.0ms	(/ (/ (* z y) (* (cbrt t) (cbrt t))) (cbrt t))
130.0ms	(/ (* z y) (* (cbrt t) (cbrt t)))

simplify52.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	389	1002
1	1986	820
2	5001	785

prune368.0ms

Filtered

125 candidates to 97 candidates (77.6%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	118	7	125
Fresh	2	10	12
Picked	1	0	1
Done	0	0	0
Total	121	17	138

Merged error: 4.2b

Counts

138 → 17

regimes831.0ms

Accuracy

54.2% (6.1b remaining)

Error of 10.2b against oracle of 4.1b and baseline of 17.4b

bsearch137.0ms

Steps

Iters	Range		Point
8	-2.494450641691854e-117	-2.0411675143945296e-121	-8.890770929156908e-119
7	-3.402130339251646e+46	-2.730764013455187e+44	-2.779262324491368e+44

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	27
1	40	27

end0.0ms

sample3.0s

Algorithm

intervals

Results

775.0ms	1498×	body	1280	valid
719.0ms	1480×	body	10240	exit
438.0ms	1516×	body	640	valid
215.0ms	3564×	body	80	valid
162.0ms	893×	body	320	valid
89.0ms	70×	body	2560	valid
86.0ms	2331×	body	80	nan
53.0ms	489×	body	160	valid
48.0ms	247×	body	640	nan
33.0ms	116×	body	1280	nan
29.0ms	206×	body	320	nan
9.0ms	109×	body	160	nan