Details

Time bar (total: 5.0s)

sample34.0ms

Algorithm
intervals
Results
14.0ms272×body80valid
4.0ms76×body80nan

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03818
17918
213618
316118
417318
517718
617718

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.8b

localize117.0ms

Local error

Found 4 expressions with local error:

0.8b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
1.2b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
24.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
24.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
12×add-sqr-sqrt add-log-exp
7×sqrt-prod
6×pow1 add-cube-cbrt
4×add-exp-log sqrt-div add-cbrt-cube
3×flip3-- flip--
2×neg-sub0 rem-sqrt-square distribute-rgt-neg-in sqrt-pow1 pow1/2 diff-log neg-log sum-log distribute-lft-out distribute-lft-out-- difference-of-squares
1×+-commutative associate--l- associate-+l- sub-neg flip3-+ flip-+
Counts
4 → 63
Calls
4 calls:
8.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
8.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series301.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
75.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
73.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
73.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify116.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (109.0ms)

IterNodesCost
0246646
1890606
23700588
35001584

prune300.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 9.1b

localize118.0ms

Local error

Found 4 expressions with local error:

11.5b
(- (- b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
24.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
24.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
24.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×sqrt-prod
8×add-log-exp
7×pow1 add-cube-cbrt *-un-lft-identity
6×sqrt-div
4×add-exp-log flip3-- add-cbrt-cube flip--
3×rem-sqrt-square sqrt-pow1 pow1/2
2×diff-log
1×associate--l- neg-sub0 sub-neg neg-log difference-of-squares
Counts
4 → 60
Calls
4 calls:
4.0ms
(- (- b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series294.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(- (- b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
71.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
73.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
73.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify111.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (101.0ms)

IterNodesCost
0225725
1835631
23414609
35001589

prune322.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 9.1b

localize124.0ms

Local error

Found 4 expressions with local error:

24.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
24.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
24.8b
(cbrt (- (* b b) (* (* 4.0 a) c)))
24.8b
(cbrt (- (* b b) (* (* 4.0 a) c)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×pow1 cbrt-prod sqrt-prod
4×add-exp-log cbrt-div flip3-- sqrt-div add-cbrt-cube flip-- add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 pow1/3
Counts
4 → 56
Calls
4 calls:
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
4.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
4.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

series339.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
68.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
98.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
103.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

simplify79.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (73.0ms)

IterNodesCost
0202586
1639554
22437548
35001544

prune433.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 9.1b

localize131.0ms

Local error

Found 4 expressions with local error:

24.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
24.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
24.8b
(cbrt (- (* b b) (* (* 4.0 a) c)))
27.3b
(pow (- (* b b) (* (* 4.0 a) c)) 1/3)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity
7×pow1
6×sqrt-prod
5×add-exp-log
4×sqrt-div add-cbrt-cube add-log-exp
3×cbrt-prod unpow-prod-down pow-unpow flip3-- flip--
2×rem-sqrt-square cbrt-div sqrt-pow1 pow1/2
1×pow-to-exp pow-pow unpow1/3 pow1/3 pow-exp sqr-pow
Counts
4 → 61
Calls
4 calls:
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
4.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
5.0ms
(pow (- (* b b) (* (* 4.0 a) c)) 1/3)

series334.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
71.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
94.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
95.0ms
(pow (- (* b b) (* (* 4.0 a) c)) 1/3)

simplify106.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0251575
1875513
23630505
35001505

prune441.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 9.1b

regimes188.0ms

Accuracy

92.8% (0.9b remaining)

Error of 8.9b against oracle of 8.0b and baseline of 20.2b

bsearch157.0ms

Steps
ItersRangePoint
6
1.7071993853452014e+98
1.0593861995340862e+99
1.0479007947857462e+99
10
-1.9904610772412422e+163
-4.4721271386820616e+151
-1.3393873985403924e+154

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04858
14858

end0.0ms

sample874.0ms

Algorithm
intervals
Results
472.0ms8708×body80valid
143.0ms2858×body80nan