Details

sample48.0ms

Algorithm

intervals

Results

10.0ms	23×	body	1280	valid
9.0ms	213×	body	80	valid
6.0ms	26×	body	640	valid
3.0ms	20×	body	320	valid
2.0ms	81×	body	80	nan
1.0ms	11×	body	160	valid

simplify110.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 6 (28.0ms)

Iter	Nodes	Cost
0	18	7
1	27	7
2	54	7
3	111	7
4	314	7
5	801	7
6	4217	6
7	5001	6

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.5b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ z y))
0.0b	(exp (* y (log (/ y (+ z y)))))
0.1b	(* y (log (/ y (+ z y))))
8.4b	(log (/ y (+ z y)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

93×	`*-un-lft-identity`
90×	`log-prod`
72×	`times-frac`
57×	`add-sqr-sqrt`
55×	`add-cube-cbrt`
36×	`distribute-rgt-in` `distribute-lft-in` `exp-sum`
19×	`distribute-lft-out`
12×	`associate-/r/`
11×	`add-exp-log`
8×	`pow1` `add-cbrt-cube`
6×	`flip3-+` `flip-+` `div-inv` `add-log-exp`
4×	`expm1-log1p-u` `associate-r` `associate-/r*` `log1p-expm1-u`
3×	`associate-l` `associate-/l*`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `log-div` `exp-prod` `exp-to-pow` `frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `rem-exp-log` `unswap-sqr`

Counts

4 → 171

Calls

4 calls:

11.0ms	(/ y (+ z y))
16.0ms	(exp (* y (log (/ y (+ z y)))))
20.0ms	(* y (log (/ y (+ z y))))
6.0ms	(log (/ y (+ z y)))

series363.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(/ y (+ z y))
209.0ms	(exp (* y (log (/ y (+ z y)))))
70.0ms	(* y (log (/ y (+ z y))))
42.0ms	(log (/ y (+ z y)))

simplify64.0ms

Algorithm

egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	538	1275
1	2098	1187
2	5001	1177

prune369.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (+ z y))
0.1b	(pow (exp y) (log (/ y (+ z y))))
8.4b	(log (/ y (+ z y)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

51×	`*-un-lft-identity`
36×	`log-prod` `times-frac`
31×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`unpow-prod-up`
10×	`distribute-lft-out`
8×	`add-exp-log`
6×	`pow1` `associate-/r/`
5×	`add-cbrt-cube`
4×	`pow-unpow` `pow-pow` `associate-/r*`
3×	`expm1-log1p-u` `unpow-prod-down` `exp-prod` `flip3-+` `flip-+` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`
2×	`log-div` `div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `pow-exp` `clear-num` `pow-sub` `sqr-pow`

Counts

3 → 108

Calls

3 calls:

11.0ms	(/ y (+ z y))
13.0ms	(pow (exp y) (log (/ y (+ z y))))
6.0ms	(log (/ y (+ z y)))

series207.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ y (+ z y))
130.0ms	(pow (exp y) (log (/ y (+ z y))))
42.0ms	(log (/ y (+ z y)))

simplify46.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	432	773
1	1537	744
2	5001	726

prune372.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (+ z y))
5.9b	(pow (/ y (+ z y)) y)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
24×	`times-frac`
20×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`unpow-prod-down`
7×	`add-exp-log` `distribute-lft-out`
4×	`associate-/r*` `associate-/r/` `add-cbrt-cube`
3×	`pow1` `pow-unpow` `associate-/l*`
2×	`expm1-log1p-u` `flip3-+` `div-exp` `pow-exp` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`cbrt-undiv` `pow-to-exp` `pow-pow` `frac-2neg` `clear-num` `sqr-pow`

Counts

2 → 70

Calls

2 calls:

11.0ms	(/ y (+ z y))
13.0ms	(pow (/ y (+ z y)) y)

series257.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ y (+ z y))
222.0ms	(pow (/ y (+ z y)) y)

simplify43.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	321	413
1	1321	399
2	5002	397

prune192.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (* 1 (exp (* -1 z))) y)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 26

Calls

1 calls:

14.0ms

(/ (* 1 (exp (* -1 z))) y)

series18.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

(/ (* 1 (exp (* -1 z))) y)

simplify115.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	150	148
1	588	122
2	3507	119
3	5001	119

prune59.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes70.0ms

Accuracy

94% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.3b

bsearch94.0ms

Steps

Iters	Range		Point
6	0.4746891692045258	2.5556453819330236	1.2927406694831862
10	-4.1728924752675224e+42	-2.826840154543252e+32	-1.1161118209519008e+42

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	12
1	36	12
2	36	12

end0.0ms

sample1.5s

Algorithm

intervals

Results

343.0ms	802×	body	1280	valid
295.0ms	6502×	body	80	valid
243.0ms	963×	body	640	valid
100.0ms	3062×	body	80	nan
96.0ms	579×	body	320	valid
31.0ms	311×	body	160	valid