Details

sample77.0ms

Algorithm

intervals

Results

23.0ms	219×	body	80	valid
14.0ms	33×	body	640	valid
12.0ms	21×	body	1280	valid
7.0ms	100×	body	80	nan
4.0ms	13×	body	320	valid
2.0ms	12×	body	160	valid

simplify112.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	7
1	27	7
2	54	7
3	109	7
4	307	7
5	777	7
6	4145	7
7	5002	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (exp (* y (log (/ y (+ z y))))) y)
0.0b	(exp (* y (log (/ y (+ z y)))))
0.1b	(* y (log (/ y (+ z y))))
10.1b	(log (/ y (+ z y)))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

273×	`times-frac`
234×	`log-prod`
232×	`*-un-lft-identity`
180×	`exp-sum`
156×	`add-sqr-sqrt`
154×	`add-cube-cbrt`
108×	`distribute-rgt-in` `distribute-lft-in`
39×	`distribute-lft-out` `associate-/l*`
26×	`associate-/r/`
14×	`div-inv`
13×	`flip3-+` `flip-+`
10×	`add-exp-log`
8×	`pow1` `add-cbrt-cube`
6×	`add-log-exp`
4×	`associate-r`
3×	`associate-l` `associate-/r*`
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 → 301

Calls

4 calls:

53.0ms	(/ (exp (* y (log (/ y (+ z y))))) y)
11.0ms	(exp (* y (log (/ y (+ z y)))))
12.0ms	(* y (log (/ y (+ z y))))
4.0ms	(log (/ y (+ z y)))

series494.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(/ (exp (* y (log (/ y (+ z y))))) y)
235.0ms	(exp (* y (log (/ y (+ z y)))))
81.0ms	(* y (log (/ y (+ z y))))
48.0ms	(log (/ y (+ z y)))

simplify88.0ms

Algorithm

egg-herbie

Counts

313 → 313

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	827	3276
1	2653	2828
2	5002	2813

prune623.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ z y))
0.0b	(/ (pow (exp y) (log (/ y (+ z y)))) y)
0.6b	(pow (exp y) (log (/ y (+ z y))))
10.1b	(log (/ y (+ z y)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

159×	`times-frac`
142×	`*-un-lft-identity`
108×	`log-prod`
98×	`add-sqr-sqrt` `add-cube-cbrt`
90×	`unpow-prod-up`
28×	`associate-/l*`
22×	`distribute-lft-out`
15×	`unpow-prod-down`
14×	`associate-/r/`
13×	`add-exp-log`
8×	`add-cbrt-cube` `div-inv`
7×	`pow1` `flip3-+` `associate-/r*` `flip-+`
5×	`div-exp` `sqr-pow`
4×	`pow-unpow` `pow-pow` `add-log-exp`
3×	`log-div` `exp-prod`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `rem-log-exp` `pow-exp` `clear-num` `log-pow` `pow-sub`
1×	`associate-/l/`

Counts

4 → 220

Calls

4 calls:

6.0ms	(/ y (+ z y))
24.0ms	(/ (pow (exp y) (log (/ y (+ z y)))) y)
6.0ms	(pow (exp y) (log (/ y (+ z y))))
4.0ms	(log (/ y (+ z y)))

series353.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(/ y (+ z y))
108.0ms	(/ (pow (exp y) (log (/ y (+ z y)))) y)
149.0ms	(pow (exp y) (log (/ y (+ z y))))
48.0ms	(log (/ y (+ z y)))

simplify75.0ms

Algorithm

egg-herbie

Counts

232 → 232

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	669	2280
1	2794	2231
2	5002	2195

prune675.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`associate-/r` `add-cbrt-cube` `associate-/l`
2×	`add-exp-log`
1×	`pow1` `cbrt-undiv` `exp-neg` `frac-2neg` `mul-1-neg` `div-exp` `clear-num` `div-inv` `associate-/l/` `add-log-exp`

Counts

1 → 28

Calls

1 calls:

3.0ms

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

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

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

simplify49.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	114	186
1	303	172
2	1465	170
3	5003	170

prune68.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes57.0ms

Accuracy

-0.8% (1.1b remaining)

Error of 1.1b against oracle of 0.1b and baseline of 1.1b

bsearch39.0ms

Steps

Iters	Range		Point
6	1.373989927927677e-63	7.427813723742166e-63	7.336756572307091e-63

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	11
1	23	11

end0.0ms

sample2.4s

Algorithm

intervals

Results

704.0ms	6567×	body	80	valid
517.0ms	808×	body	1280	valid
374.0ms	883×	body	640	valid
229.0ms	3099×	body	80	nan
165.0ms	550×	body	320	valid
59.0ms	290×	body	160	valid