Details

sample94.0ms

Algorithm

intervals

Results

75.0ms

636×

body

valid

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	55	15
1	179	14
2	561	13
3	1824	13
4	5002	13

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 4.0 (fma (* a a) (+ 1.0 a) (* (* b b) (- 1.0 (* 3.0 a)))) (- (pow (+ (* a a) (* b b)) 2.0) 1.0))
0.0b	(fma (* a a) (+ 1.0 a) (* (* b b) (- 1.0 (* 3.0 a))))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.4b	(* (* b b) (- 1.0 (* 3.0 a)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log` `add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `associate-*r/` `fma-udef`
1×	`pow-to-exp` `flip3--` `pow-pow` `associate-l` `pow-exp` `*-commutative` `flip--` `unswap-sqr` `sqr-pow`

Counts

4 → 72

Calls

4 calls:

0.0ms	(fma 4.0 (fma (* a a) (+ 1.0 a) (* (* b b) (- 1.0 (* 3.0 a)))) (- (pow (+ (* a a) (* b b)) 2.0) 1.0))
0.0ms	(fma (* a a) (+ 1.0 a) (* (* b b) (- 1.0 (* 3.0 a))))
5.0ms	(pow (+ (* a a) (* b b)) 2.0)
14.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

series381.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(fma 4.0 (fma (* a a) (+ 1.0 a) (* (* b b) (- 1.0 (* 3.0 a)))) (- (pow (+ (* a a) (* b b)) 2.0) 1.0))
66.0ms	(fma (* a a) (+ 1.0 a) (* (* b b) (- 1.0 (* 3.0 a))))
129.0ms	(pow (+ (* a a) (* b b)) 2.0)
63.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

simplify56.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	391	706
1	1680	606
2	5001	592

prune316.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* b b) (- 1.0 (* 3.0 a)))
19.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
14×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `add-exp-log` `unpow-prod-down` `add-cbrt-cube`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `sqr-pow`
2×	`sub-neg` `associate-*r/`
1×	`flip3--` `associate-l` `*-commutative` `flip--` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

14.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
5.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series616.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
195.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
178.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
191.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify48.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	315	769
1	1231	692
2	5002	681

prune447.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

8.3b	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
8.3b	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
19.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `sqr-pow`

Counts

4 → 68

Calls

4 calls:

4.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
5.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series674.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
168.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
167.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
177.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify58.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	163	728
1	392	678
2	1340	660
3	5001	660

prune476.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

19.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `sqr-pow`

Counts

4 → 68

Calls

4 calls:

5.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series637.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
160.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
163.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
156.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify107.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 3 (25.0ms)

Iter	Nodes	Cost
0	106	680
1	233	632
2	782	624
3	3284	616
4	5002	616

prune462.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes163.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	13
1	21	13

end0.0ms

sample2.7s

Algorithm

intervals

Results

2.3s

20502×

body

valid