Details

Time bar (total: 4.5s)

sample76.0ms

Algorithm
intervals
Results
17.0ms284×body80nan
14.0ms540×pre80true
13.0ms146×body160valid
6.0ms41×body320valid
3.0ms69×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0219
1429
2769
3949
41029
51029

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 41.1b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b b) (* (* 3.0 a) c))
0.3b
(* (* 3.0 a) c)
0.3b
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
36.6b
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
14×add-exp-log add-cbrt-cube
10×add-log-exp
9×pow1
7×add-sqr-sqrt add-cube-cbrt
6×distribute-lft-out
5×times-frac associate-/l*
4×prod-exp cbrt-unprod
3×distribute-rgt-neg-in associate-*r* pow-prod-down
2×cbrt-undiv neg-sub0 associate-+l- flip3-+ div-exp sum-log flip-+ associate-/l/
1×+-commutative sub-neg flip3-- frac-2neg diff-log div-sub associate-*l* neg-log clear-num associate-/r* *-commutative flip-- div-inv
Counts
4 → 73
Calls
4 calls:
5.0ms
(- (* b b) (* (* 3.0 a) c))
5.0ms
(* (* 3.0 a) c)
11.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
7.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series51.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(- (* b b) (* (* 3.0 a) c))
3.0ms
(* (* 3.0 a) c)
25.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
15.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify53.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0417711
11922611
25001602

prune125.0ms

Filtered
85 candidates to 59 candidates (30.6%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New79685
Fresh000
Picked101
Done000
Total80686

Merged error: 0.3b

Counts
86 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 3.0 (* a c))
0.3b
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.3b
(* (* 3.0 a) c)
0.4b
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
80×add-sqr-sqrt *-un-lft-identity
40×add-cube-cbrt
30×associate-/l*
28×add-exp-log add-cbrt-cube
20×distribute-lft-out-- difference-of-squares
14×pow1
10×distribute-rgt-neg-in sqrt-prod
8×prod-exp associate-/r* cbrt-unprod
7×cbrt-undiv div-exp
6×pow-prod-down associate-/r/
4×associate-*r* associate-*l* div-inv add-log-exp
3×flip3-- flip-- associate-/l/
2×frac-2neg clear-num *-commutative
1×flip3-+ flip-+
Counts
4 → 157
Calls
4 calls:
4.0ms
(* 3.0 (* a c))
11.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
5.0ms
(* (* 3.0 a) c)
16.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series107.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 3.0 (* a c))
55.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
3.0ms
(* (* 3.0 a) c)
45.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify116.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
06282481
133262152
250032149

prune283.0ms

Filtered
169 candidates to 104 candidates (38.5%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1618169
Fresh325
Picked101
Done000
Total16510175

Merged error: 0b

Counts
175 → 10

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 3.0 (* a c))
0.3b
(/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
0.3b
(* (* 3.0 a) c)
0.4b
(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
356×times-frac
266×add-sqr-sqrt
240×*-un-lft-identity
154×add-cube-cbrt
113×add-exp-log
88×associate-*r*
73×add-cbrt-cube
57×div-exp
42×distribute-lft-out-- difference-of-squares
32×cbrt-undiv
30×associate-/l*
29×prod-exp
27×associate-*l*
21×distribute-rgt-neg-in sqrt-prod
19×cbrt-unprod
15×associate-/r/
14×div-inv
11×pow1
8×unswap-sqr
7×flip3-- flip--
5×rec-exp 1-exp
4×pow-prod-down associate-/r* add-log-exp
2×frac-2neg clear-num *-commutative
1×frac-times associate-*r/ associate-*l/ associate-/l/
Counts
4 → 330
Calls
4 calls:
4.0ms
(/ 3.0 (* a c))
14.0ms
(/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
5.0ms
(* (* 3.0 a) c)
55.0ms
(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

series87.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ 3.0 (* a c))
34.0ms
(/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
3.0ms
(* (* 3.0 a) c)
47.0ms
(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

simplify77.0ms

Algorithm
egg-herbie
Counts
342 → 342
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
014675263
150024574

prune572.0ms

Filtered
342 candidates to 191 candidates (44.2%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New3393342
Fresh369
Picked101
Done000
Total3439352

Merged error: 0b

Counts
352 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* a (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.2b
(- (* b b) (* (* 3.0 a) c))
0.3b
(* (* 3.0 a) c)
0.4b
(/ (* 1 (* a c)) (* a (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
44×add-exp-log
32×add-cbrt-cube
21×prod-exp
13×add-sqr-sqrt cbrt-unprod
11×pow1 *-un-lft-identity
10×div-exp associate-*r*
7×add-cube-cbrt
6×cbrt-undiv add-log-exp
4×1-exp associate-*r/ associate-*l* pow-prod-down
3×sub-neg flip3-- flip--
2×distribute-rgt-in distribute-lft-in associate-/r/ *-commutative distribute-lft-out-- difference-of-squares
1×distribute-rgt-neg-in frac-2neg times-frac diff-log clear-num associate-/r* sqrt-prod div-inv associate-/l* unswap-sqr
Counts
4 → 89
Calls
4 calls:
12.0ms
(* a (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
3.0ms
(- (* b b) (* (* 3.0 a) c))
5.0ms
(* (* 3.0 a) c)
13.0ms
(/ (* 1 (* a c)) (* a (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

series80.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* a (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
8.0ms
(- (* b b) (* (* 3.0 a) c))
3.0ms
(* (* 3.0 a) c)
40.0ms
(/ (* 1 (* a c)) (* a (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

simplify92.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
0533981
13446770
25001732

prune116.0ms

Filtered
101 candidates to 58 candidates (42.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1001101
Fresh178
Picked101
Done000
Total1028110

Merged error: 0b

Counts
110 → 8

regimes263.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0199
1219
2219

end0.0ms

sample2.1s

Algorithm
intervals
Results
462.0ms4834×body160valid
446.0ms16429×pre80true
396.0ms8429×body80nan
188.0ms1337×body320valid
91.0ms1829×body80valid

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