Details

sample45.0ms

Algorithm

intervals

Results

21.0ms	115×	body	1280	valid
7.0ms	79×	body	640	valid
4.0ms	381×	pre	80	true
2.0ms	38×	body	320	valid
2.0ms	129×	body	80	valid
1.0ms	20×	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: 59.0b

localize3.0ms

Local error

Found 1 expressions with local error:

5.8b	(- (exp x) 1.0)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`prod-diff`
8×	`add-cube-cbrt`
3×	`fma-neg` `add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 28

Calls

1 calls:

5.0ms

(- (exp x) 1.0)

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

(- (exp x) 1.0)

simplify64.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	140	205
1	403	130
2	2063	120
3	5003	90

prune54.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))

simplify33.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	45	74
1	152	65
2	948	65
3	5001	65

prune32.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) 1.0)
0.0b	(/ (- (pow (exp x) 3) (pow 1.0 3)) (fma 1.0 (+ (exp x) 1.0) (exp (+ x x))))
0.0b	(pow (exp x) 3)
5.7b	(- (pow (exp x) 3) (pow 1.0 3))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

234×	`add-sqr-sqrt`
166×	`*-un-lft-identity`
144×	`prod-diff`
138×	`unpow-prod-down` `cube-prod`
114×	`add-cube-cbrt`
80×	`difference-of-squares`
75×	`times-frac`
66×	`sqr-pow`
26×	`cube-mult` `unpow3`
25×	`associate-/l*` `distribute-lft-out--`
12×	`fma-neg`
8×	`add-log-exp`
7×	`add-cbrt-cube`
6×	`add-exp-log`
5×	`pow1` `difference-cubes`
4×	`expm1-log1p-u` `pow-pow` `log1p-expm1-u`
3×	`pow-unpow` `exp-prod` `fma-def` `associate-/r*`
2×	`flip3--` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `div-exp` `pow-exp` `clear-num` `sum-log` `flip-+` `div-inv` `distribute-lft-out` `rem-cube-cbrt`

Counts

4 → 357

Calls

4 calls:

4.0ms	(+ (exp x) 1.0)
68.0ms	(/ (- (pow (exp x) 3) (pow 1.0 3)) (fma 1.0 (+ (exp x) 1.0) (exp (+ x x))))
2.0ms	(pow (exp x) 3)
29.0ms	(- (pow (exp x) 3) (pow 1.0 3))

series167.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ (exp x) 1.0)
93.0ms	(/ (- (pow (exp x) 3) (pow 1.0 3)) (fma 1.0 (+ (exp x) 1.0) (exp (+ x x))))
24.0ms	(pow (exp x) 3)
42.0ms	(- (pow (exp x) 3) (pow 1.0 3))

simplify157.0ms

Algorithm

egg-herbie

Counts

369 → 369

Iterations

Useful iterations: 2 (103.0ms)

Iter	Nodes	Cost
0	826	4623
1	3194	3865
2	5002	3772

prune411.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (exp x)) (cbrt (exp x)))
0.0b	(pow (* (cbrt (exp x)) (cbrt (exp x))) 3)
0.0b	(pow (cbrt (exp x)) 3)
5.7b	(fma (pow (* (cbrt (exp x)) (cbrt (exp x))) 3) (pow (cbrt (exp x)) 3) (- (pow 1.0 3)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`cbrt-prod`
20×	`pow1`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`pow1/3`
11×	`pow-pow`
10×	`add-exp-log`
7×	`unpow-prod-down` `cube-prod`
6×	`pow-unpow` `swap-sqr` `associate-r` `associate-l`
5×	`add-cbrt-cube`
4×	`expm1-log1p-u` `pow-prod-down` `pow-sqr` `pow-prod-up` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-exp` `rem-cube-cbrt`
2×	`pow2` `cube-mult` `pow-to-exp` `pow-plus` `unpow3` `prod-exp` `cbrt-unprod` `sqr-pow`
1×	`*-commutative` `fma-udef`

Counts

4 → 115

Calls

4 calls:

7.0ms	(* (cbrt (exp x)) (cbrt (exp x)))
4.0ms	(pow (* (cbrt (exp x)) (cbrt (exp x))) 3)
2.0ms	(pow (cbrt (exp x)) 3)
0.0ms	(fma (pow (* (cbrt (exp x)) (cbrt (exp x))) 3) (pow (cbrt (exp x)) 3) (- (pow 1.0 3)))

series581.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* (cbrt (exp x)) (cbrt (exp x)))
118.0ms	(pow (* (cbrt (exp x)) (cbrt (exp x))) 3)
107.0ms	(pow (cbrt (exp x)) 3)
260.0ms	(fma (pow (* (cbrt (exp x)) (cbrt (exp x))) 3) (pow (cbrt (exp x)) 3) (- (pow 1.0 3)))

simplify87.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	302	659
1	1862	517
2	5001	480

prune501.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes13.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	4

end0.0ms

sample1.2s

Algorithm

intervals

Results

502.0ms	3377×	body	1280	valid
231.0ms	2529×	body	640	valid
110.0ms	11977×	pre	80	true
72.0ms	1296×	body	320	valid
51.0ms	4159×	body	80	valid
24.0ms	616×	body	160	valid