Details

sample37.0ms

Algorithm

intervals

Results

14.0ms	105×	body	1280	valid
7.0ms	81×	body	640	valid
3.0ms	375×	pre	80	true
2.0ms	46×	body	320	valid
1.0ms	125×	body	80	valid
1.0ms	18×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	2
1	7	2
2	7	2

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize3.0ms

Local error

Found 1 expressions with local error:

5.2b	(- (exp x) 1.0)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 14

Calls

1 calls:

4.0ms

(- (exp x) 1.0)

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

(- (exp x) 1.0)

simplify53.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	81	72
1	185	67
2	499	66
3	1399	66
4	5002	66

prune41.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (pow x 2) (+ (* x 1/6) 1/2))
0.3b	(* x 1/6)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
11×	`associate-l`
9×	`add-exp-log`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r` `add-cbrt-cube`
5×	`unswap-sqr`
4×	`pow1` `unpow-prod-down` `prod-exp`
2×	`associate-r/` `-commutative` `cbrt-unprod` `unpow2` `add-log-exp` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `flip3-+` `pow-prod-down` `pow-exp` `flip-+`

Counts

2 → 49

Calls

2 calls:

7.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
4.0ms	(* x 1/6)

series83.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
14.0ms	(* x 1/6)

simplify42.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	247	239
1	1168	216
2	5001	216

prune102.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) 1.0)
0.0b	(* (exp x) (exp x))
0.0b	(/ (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0))
5.2b	(- (* (exp x) (exp x)) (* 1.0 1.0))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt`
18×	`exp-prod`
16×	`times-frac`
11×	`pow1`
8×	`add-cbrt-cube` `add-log-exp`
6×	`add-exp-log` `distribute-lft-out` `difference-of-squares`
4×	`pow-prod-down` `associate-/r` `pow-sqr` `pow-prod-up` `associate-/l`
3×	`swap-sqr` `associate-r` `associate-l`
2×	`flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `pow2` `sub-neg` `frac-2neg` `pow-plus` `diff-log` `div-sub` `div-exp` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 100

Calls

4 calls:

4.0ms	(+ (exp x) 1.0)
9.0ms	(* (exp x) (exp x))
11.0ms	(/ (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0))
6.0ms	(- (* (exp x) (exp x)) (* 1.0 1.0))

series102.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ (exp x) 1.0)
19.0ms	(* (exp x) (exp x))
48.0ms	(/ (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0))
26.0ms	(- (* (exp x) (exp x)) (* 1.0 1.0))

simplify55.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	376	823
1	1712	737
2	5001	719

prune188.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (- (exp x) 1.0))
0.2b	(exp (log (- (exp x) 1.0)))
5.2b	(- (exp x) 1.0)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 49

Calls

3 calls:

4.0ms	(log (- (exp x) 1.0))
5.0ms	(exp (log (- (exp x) 1.0)))
4.0ms	(- (exp x) 1.0)

series94.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(log (- (exp x) 1.0))
15.0ms	(exp (log (- (exp x) 1.0)))
15.0ms	(- (exp x) 1.0)

simplify64.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (19.0ms)

Iter	Nodes	Cost
0	141	286
1	287	264
2	679	259
3	1826	253
4	5001	253

prune104.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes72.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5

end0.0ms

sample1.1s

Algorithm

intervals

Results

500.0ms	3475×	body	1280	valid
206.0ms	2452×	body	640	valid
97.0ms	11948×	pre	80	true
64.0ms	1224×	body	320	valid
48.0ms	4142×	body	80	valid
22.0ms	655×	body	160	valid