Details

sample112.0ms

Algorithm

intervals

Results

28.0ms	50×	body	1280	valid
23.0ms	45×	body	10240	exit
14.0ms	47×	body	640	valid
7.0ms	112×	body	80	valid
5.0ms	29×	body	320	valid
4.0ms	4×	body	2560	valid
3.0ms	75×	body	80	nan
2.0ms	6×	body	1280	nan
2.0ms	9×	body	640	nan
2.0ms	14×	body	160	valid
1.0ms	4×	body	320	nan
0.0ms	4×	body	160	nan

simplify216.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.1b

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)
1.7b	(log (+ (- 1.0 y) (* y (exp z))))
2.2b	(+ (- 1.0 y) (* y (exp z)))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
23×	`add-cube-cbrt`
12×	`times-frac`
11×	`pow1` `associate-+l+`
9×	`prod-diff` `add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
5×	`fma-def` `log-pow`
4×	`expm1-log1p-u` `log-div` `log1p-expm1-u` `associate-/l*`
3×	`log-prod` `flip3-+` `associate-r` `associate-l` `associate-/r*` `flip-+`
2×	`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` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

11.0ms	(* y (exp z))
52.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
18.0ms	(log (+ (- 1.0 y) (* y (exp z))))
33.0ms	(+ (- 1.0 y) (* y (exp z)))

series276.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* y (exp z))
160.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
63.0ms	(log (+ (- 1.0 y) (* y (exp z))))
34.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify57.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	499	918
1	2002	785
2	5001	761

prune521.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 4.6b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (fma 0.5 (* (pow z 2) y) (fma 1.0 (* z y) (log 1.0))) t))
2.0b	(fma 0.5 (* (pow z 2) y) (fma 1.0 (* z y) (log 1.0)))
5.8b	(* (pow z 2) y)
7.2b	(/ (fma 0.5 (* (pow z 2) y) (fma 1.0 (* z y) (log 1.0))) t)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

61×	`add-sqr-sqrt`
52×	`*-un-lft-identity`
50×	`add-cube-cbrt`
39×	`prod-diff`
37×	`times-frac`
11×	`add-exp-log`
8×	`associate-l` `add-cbrt-cube`
6×	`add-log-exp`
4×	`pow1` `expm1-log1p-u` `unpow-prod-down` `log1p-expm1-u` `div-inv` `unswap-sqr`
3×	`fma-neg` `associate-r` `prod-exp` `associate-/r` `associate-/l`
2×	`unpow2` `difference-of-squares` `sqr-pow`
1×	`cbrt-undiv` `pow-to-exp` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `pow-exp` `clear-num` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `distribute-lft-out--`

Counts

4 → 127

Calls

4 calls:

12.0ms	(- x (/ (fma 0.5 (* (pow z 2) y) (fma 1.0 (* z y) (log 1.0))) t))
0.0ms	(fma 0.5 (* (pow z 2) y) (fma 1.0 (* z y) (log 1.0)))
11.0ms	(* (pow z 2) y)
5.0ms	(/ (fma 0.5 (* (pow z 2) y) (fma 1.0 (* z y) (log 1.0))) t)

series256.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(- x (/ (fma 0.5 (* (pow z 2) y) (fma 1.0 (* z y) (log 1.0))) t))
52.0ms	(fma 0.5 (* (pow z 2) y) (fma 1.0 (* z y) (log 1.0)))
18.0ms	(* (pow z 2) y)
83.0ms	(/ (fma 0.5 (* (pow z 2) y) (fma 1.0 (* z y) (log 1.0))) t)

simplify71.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	546	3031
1	1897	1985
2	5001	1748

prune664.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.5b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `*-un-lft-identity`
11×	`add-cube-cbrt`
9×	`prod-diff`
7×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`times-frac` `fma-neg` `associate-/r*`
2×	`pow1` `cbrt-undiv` `expm1-log1p-u` `diff-log` `div-exp` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `frac-2neg` `prod-exp` `clear-num` `sum-log` `flip--` `cbrt-unprod` `div-inv` `associate-/l*` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 53

Calls

2 calls:

72.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
9.0ms	(/ (* z y) t)

series93.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
17.0ms	(/ (* z y) t)

simplify39.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	261	704
1	1021	433
2	5001	422

prune234.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
3.4b	(* (/ z (* (cbrt t) (cbrt t))) (/ y (cbrt t)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
28×	`times-frac`
25×	`add-exp-log`
22×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
20×	`cbrt-prod`
18×	`add-cbrt-cube`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 100

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
41.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ y (cbrt t)))

series765.0ms

Counts

4 → 12

Calls

4 calls:

357.0ms	(cbrt t)
172.0ms	(cbrt t)
191.0ms	(cbrt t)
43.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ y (cbrt t)))

simplify54.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	424	748
1	2233	609
2	5001	570

prune558.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 3.1b

regimes720.0ms

Accuracy

64.2% (4.7b remaining)

Error of 8.5b against oracle of 3.8b and baseline of 17.0b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	25
1	34	25

end0.0ms

sample3.2s

Algorithm

intervals

Results

770.0ms	1424×	body	1280	valid
767.0ms	1510×	body	10240	exit
466.0ms	1579×	body	640	valid
223.0ms	3541×	body	80	valid
176.0ms	950×	body	320	valid
95.0ms	2496×	body	80	nan
91.0ms	71×	body	2560	valid
54.0ms	468×	body	160	valid
48.0ms	237×	body	640	nan
39.0ms	123×	body	1280	nan
29.0ms	198×	body	320	nan
12.0ms	115×	body	160	nan