Details

sample29.0ms

Algorithm

intervals

Results

10.0ms	61×	body	1280	valid
5.0ms	52×	body	640	valid
3.0ms	172×	body	80	valid
3.0ms	40×	body	320	valid
1.0ms	16×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	13	3
2	15	3
3	15	3

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.6b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- (exp x) 1.0) x)
5.8b	(- (exp x) 1.0)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/r*`
2×	`pow1` `flip3--` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

2 → 52

Calls

2 calls:

25.0ms	(/ (- (exp x) 1.0) x)
9.0ms	(- (exp x) 1.0)

series48.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ (- (exp x) 1.0) x)
13.0ms	(- (exp x) 1.0)

simplify73.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	222	329
1	625	311
2	2739	309
3	5001	309

prune114.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))
0.2b	(* 1/6 (pow x 2))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-exp-log` `add-log-exp`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `unswap-sqr`
3×	`associate-l` `prod-exp` `sum-log`
2×	`pow1` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `associate-+r+` `flip3-+` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 40

Calls

2 calls:

20.0ms	(+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))
11.0ms	(* 1/6 (pow x 2))

series44.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))
26.0ms	(* 1/6 (pow x 2))

simplify34.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	201	222
1	825	201
2	5001	198

prune77.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 (exp x)) x)
5.8b	(- 1.0 (exp x))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/r*`
2×	`pow1` `flip3--` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

2 → 52

Calls

2 calls:

18.0ms	(/ (- 1.0 (exp x)) x)
8.0ms	(- 1.0 (exp x))

series43.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ (- 1.0 (exp x)) x)
12.0ms	(- 1.0 (exp x))

simplify80.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	230	333
1	659	315
2	2880	314
3	5002	314

prune99.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- (exp x) 1.0))
5.8b	(- (exp x) 1.0)
5.8b	(- (exp x) 1.0)
5.8b	(- (exp x) 1.0)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

6.0ms	(cbrt (- (exp x) 1.0))
10.0ms	(- (exp x) 1.0)
10.0ms	(- (exp x) 1.0)
12.0ms	(- (exp x) 1.0)

series127.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(cbrt (- (exp x) 1.0))
12.0ms	(- (exp x) 1.0)
13.0ms	(- (exp x) 1.0)
13.0ms	(- (exp x) 1.0)

simplify42.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	138	332
1	354	298
2	1056	293
3	5001	293

prune145.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes39.0ms

Accuracy

98.7% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 21.0b

bsearch20.0ms

Steps

Iters	Range		Point
7	-0.00024241826916865248	-9.93567350853914e-07	-0.00015529374486214826

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	9
1	29	9
2	29	9

end0.0ms

sample908.0ms

Algorithm

intervals

Results

391.0ms	2317×	body	1280	valid
171.0ms	1615×	body	640	valid
97.0ms	5464×	body	80	valid
60.0ms	887×	body	320	valid
17.0ms	395×	body	160	valid