Details

Time bar (total: 6.0s)

sample60.0ms

Algorithm
intervals
Results
13.0ms524×pre80true
12.0ms115×body320valid
9.0ms268×body80nan
7.0ms105×body160valid
2.0ms15×body640valid
1.0ms21×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0229
1439
2839
31109
41189
51189

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 54.0b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.2b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.3b
(* (* 3.0 a) c)
28.0b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
447×add-sqr-sqrt
336×associate-*l*
330×prod-diff
300×*-un-lft-identity
232×add-cube-cbrt
183×associate-*r*
111×unswap-sqr
72×swap-sqr
64×*-commutative
60×times-frac
28×distribute-lft-out
17×distribute-rgt-neg-in
15×fma-neg difference-of-squares
14×add-exp-log add-cbrt-cube
12×associate-/r*
10×fma-def add-log-exp
9×pow1
6×distribute-lft-out--
5×associate-/l*
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u
3×distribute-lft-neg-in pow-prod-down
2×cbrt-undiv neg-sub0 associate-+l- flip3-+ div-exp sum-log flip-+ associate-/l/
1×+-commutative neg-mul-1 sub-neg flip3-- frac-2neg diff-log div-sub neg-log clear-num flip-- div-inv
Counts
4 → 536
Calls
4 calls:
32.0ms
(- (* b b) (* (* 3.0 a) c))
39.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
7.0ms
(* (* 3.0 a) c)
36.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series272.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(- (* b b) (* (* 3.0 a) c))
110.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
25.0ms
(* (* 3.0 a) c)
87.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify195.0ms

Algorithm
egg-herbie
Counts
548 → 548
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
013928928
149856424
250016424

prune441.0ms

Filtered
548 candidates to 171 candidates (31.2%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New5399548
Fresh000
Picked101
Done000
Total5409549

Merged error: 2.2b

Counts
549 → 9

localize6.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune20.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New000
Fresh088
Picked011
Done000
Total099

Merged error: 2.2b

Counts
9 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (* a c) b)
0.3b
(* -1.5 (/ (* a c) b))
0.4b
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
1180×times-frac
860×associate-*r*
853×add-sqr-sqrt
531×*-un-lft-identity
527×add-cube-cbrt
344×associate-*l*
156×unswap-sqr
114×*-commutative
91×associate-/l*
49×add-exp-log add-cbrt-cube
36×associate-*r/
21×associate-/r* associate-/l/
17×prod-exp cbrt-unprod
16×cbrt-undiv div-exp div-inv
6×clear-num un-div-inv
5×pow1
4×frac-2neg
3×expm1-log1p-u log1p-expm1-u add-log-exp
1×pow-prod-down
Counts
3 → 875
Calls
3 calls:
7.0ms
(/ (* a c) b)
16.0ms
(* -1.5 (/ (* a c) b))
42.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series78.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(/ (* a c) b)
36.0ms
(* -1.5 (/ (* a c) b))
22.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify162.0ms

Algorithm
egg-herbie
Counts
884 → 884
Iterations

Useful iterations: 1 (74.0ms)

IterNodesCost
041768764
150018706

prune1.4s

Filtered
884 candidates to 630 candidates (71.3%)
Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New87014884
Fresh077
Picked101
Done011
Total87122893

Merged error: 2.1b

Counts
893 → 22

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (* a c) b)
0.3b
(expm1 (log1p (/ (* a c) b)))
0.3b
(* -1.5 (expm1 (log1p (/ (* a c) b))))
0.4b
(/ (* -1.5 (expm1 (log1p (/ (* a c) b)))) (* 3.0 a))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
180×times-frac
171×add-sqr-sqrt
109×add-cube-cbrt *-un-lft-identity
93×associate-*r* associate-*l*
31×*-commutative unswap-sqr
24×associate-/l*
23×add-exp-log add-cbrt-cube
15×associate-/r*
6×pow1 cbrt-undiv div-exp prod-exp cbrt-unprod
5×log1p-expm1-u
4×expm1-log1p-u add-log-exp
2×expm1-log1p frac-2neg clear-num div-inv
1×pow-prod-down expm1-udef
Counts
4 → 287
Calls
4 calls:
7.0ms
(/ (* a c) b)
1.0ms
(expm1 (log1p (/ (* a c) b)))
3.0ms
(* -1.5 (expm1 (log1p (/ (* a c) b))))
12.0ms
(/ (* -1.5 (expm1 (log1p (/ (* a c) b)))) (* 3.0 a))

series318.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ (* a c) b)
96.0ms
(expm1 (log1p (/ (* a c) b)))
105.0ms
(* -1.5 (expm1 (log1p (/ (* a c) b))))
98.0ms
(/ (* -1.5 (expm1 (log1p (/ (* a c) b)))) (* 3.0 a))

simplify63.0ms

Algorithm
egg-herbie
Counts
299 → 299
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
011662873
150012525

prune672.0ms

Filtered
299 candidates to 219 candidates (73.2%)
Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New2954299
Fresh31720
Picked101
Done011
Total29922321

Merged error: 2.1b

Counts
321 → 22

regimes311.0ms

Accuracy

0% (3.5b remaining)

Error of 6.1b against oracle of 2.6b and baseline of 6.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062
162

end0.0ms

sample1.6s

Algorithm
intervals
Results
381.0ms3612×body320valid
319.0ms15939×pre80true
261.0ms7939×body80nan
210.0ms2970×body160valid
75.0ms518×body640valid
35.0ms900×body80valid