Details

Time bar (total: 5.6s)

sample56.0ms

Algorithm
intervals
Results
30.0ms281×body80valid
10.0ms107×body80nan

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03518
16618
211618
314418
415918
516118
616118

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.3b

localize111.0ms

Local error

Found 4 expressions with local error:

1.2b
(- (* b b) (* (* 4.0 a) c))
1.6b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
22.7b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.7b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity add-log-exp
8×add-sqr-sqrt
6×pow1 add-cube-cbrt sqrt-prod
4×add-exp-log sqrt-div add-cbrt-cube
3×flip3-- flip--
2×rem-sqrt-square sqrt-pow1 pow1/2 sum-log distribute-lft-out
1×+-commutative neg-sub0 associate-+l- sub-neg distribute-rgt-neg-in flip3-+ diff-log neg-log flip-+
Counts
4 → 57
Calls
4 calls:
3.0ms
(- (* b b) (* (* 4.0 a) c))
11.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
8.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series262.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- (* b b) (* (* 4.0 a) c))
78.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
65.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
73.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify121.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (114.0ms)

IterNodesCost
0236533
1919501
23961487
35001484

prune272.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 7.6b

localize113.0ms

Local error

Found 4 expressions with local error:

6.1b
(- (- b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
22.7b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.7b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.7b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite19.0ms

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:
6.0ms
(- (- 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)))

series288.0ms

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))))))
69.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
71.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
71.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify106.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (98.0ms)

IterNodesCost
0225725
1835631
23414609
35001589

prune328.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 7.6b

localize124.0ms

Local error

Found 4 expressions with local error:

22.7b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.7b
(sqrt (- (* b b) (* (* 4.0 a) c)))
23.5b
(cbrt (- (* b b) (* (* 4.0 a) c)))
23.5b
(cbrt (- (* b b) (* (* 4.0 a) c)))

rewrite13.0ms

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)))
2.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
2.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

series334.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
70.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
95.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
99.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

simplify78.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (71.0ms)

IterNodesCost
0202586
1639554
22437548
35001544

prune425.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 7.6b

localize131.0ms

Local error

Found 4 expressions with local error:

23.5b
(cbrt (- (* b b) (* (* 4.0 a) c)))
23.5b
(cbrt (- (* b b) (* (* 4.0 a) c)))
23.5b
(cbrt (- (* b b) (* (* 4.0 a) c)))
23.5b
(cbrt (- (* b b) (* (* 4.0 a) c)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- add-log-exp
Counts
4 → 52
Calls
4 calls:
2.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
2.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
2.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
2.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

series381.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
96.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
95.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
96.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

simplify72.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0153632
1509588
22023580
35001580

prune494.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 7.5b

regimes229.0ms

Accuracy

93.3% (0.8b remaining)

Error of 8.5b against oracle of 7.7b and baseline of 19.7b

bsearch211.0ms

Steps
ItersRangePoint
6
5.779436182351587e+124
6.964873849469576e+125
6.771165814787109e+125
12
-7.927726045730789e+181
-4.544878892552954e+140
-1.3379185299605649e+154

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04858
14858

end0.0ms

sample1.3s

Algorithm
intervals
Results
836.0ms8700×body80valid
236.0ms2804×body80nan