Details

Time bar (total: 2.0m)

sample23.0ms

Algorithm
intervals
Results
12.0ms330×body80valid

simplify130.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0275
1785
21795
32775
43755
54885
69775
725115
850025

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: 13.7b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
13.4b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
417×add-sqr-sqrt
348×times-frac
342×associate-*l*
217×*-un-lft-identity
189×add-cube-cbrt
188×associate-*r*
128×unswap-sqr
72×*-commutative
56×swap-sqr
29×associate-/r*
28×add-exp-log add-cbrt-cube
14×distribute-lft-out
12×prod-exp cbrt-unprod associate-/l*
7×pow1
6×cbrt-undiv div-exp
4×associate-*r/
3×pow-prod-down
2×+-commutative distribute-rgt-in expm1-log1p-u distribute-lft-in flip3-+ associate-/r/ flip-+ log1p-expm1-u add-log-exp
1×frac-2neg clear-num div-inv
Counts
2 → 461
Calls
2 calls:
11.0ms
(* (* z z) (+ z 1.0))
27.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series122.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(* (* z z) (+ z 1.0))
68.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify88.0ms

Algorithm
egg-herbie
Counts
467 → 467
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
018864112
150024010

prune766.0ms

Filtered
467 candidates to 247 candidates (52.9%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New4589467
Fresh000
Picked011
Done000
Total45810468

Merged error: 0.0b

Counts
468 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
1.2b
(* (/ (cbrt x) (/ (fabs z) (cbrt x))) (* (/ (cbrt x) (fabs z)) (/ y (+ z 1.0))))

rewrite897.0ms

Algorithm
rewrite-expression-head
Rules
8304×frac-times
5916×associate-/r*
5088×*-un-lft-identity
4523×add-sqr-sqrt
4272×associate-/l*
4218×add-cube-cbrt
3013×times-frac
2990×cbrt-prod
946×clear-num
914×frac-2neg
464×associate-*r/
419×distribute-lft-out
415×associate-*l/
214×add-cbrt-cube
170×associate-*l*
154×div-inv
119×cbrt-undiv
110×unswap-sqr
91×cbrt-unprod
73×add-exp-log
69×associate-*r*
64×un-div-inv
27×div-exp prod-exp
21×associate-/r/
9×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down
2×*-commutative
1×flip3-+ flip-+
Counts
4 → 5009
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(cbrt x)
259.0ms
(* (/ (cbrt x) (/ (fabs z) (cbrt x))) (* (/ (cbrt x) (fabs z)) (/ y (+ z 1.0))))

series656.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(cbrt x)
181.0ms
(cbrt x)
186.0ms
(cbrt x)
95.0ms
(* (/ (cbrt x) (/ (fabs z) (cbrt x))) (* (/ (cbrt x) (fabs z)) (/ y (+ z 1.0))))

simplify978.0ms

Algorithm
egg-herbie
Counts
5021 → 5021
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
05479108302

prune16.4s

Filtered
5021 candidates to 3637 candidates (72.4%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New502015021
Fresh088
Picked011
Done101
Total5021105031

Merged error: 0b

Counts
5031 → 10

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fabs z))
0.6b
(cbrt (fabs z))
0.7b
(/ (* (- (cbrt x)) (* (/ (cbrt x) (* (cbrt (fabs z)) (cbrt (fabs z)))) (/ y (+ z 1.0)))) (* (- (/ (fabs z) (cbrt x))) (cbrt (fabs z))))
1.8b
(* (- (cbrt x)) (* (/ (cbrt x) (* (cbrt (fabs z)) (cbrt (fabs z)))) (/ y (+ z 1.0))))

rewrite4.8s

Algorithm
rewrite-expression-head
Rules
45767×times-frac
42244×add-sqr-sqrt
27690×associate-*l*
23584×cbrt-prod
19563×associate-*r*
17378×*-un-lft-identity
16850×add-cube-cbrt
11437×unswap-sqr
6714×distribute-lft-neg-in distribute-rgt-neg-in
3408×swap-sqr
1318×*-commutative
957×associate-/r*
836×associate-*r/
720×frac-times
703×div-inv
646×associate-/l*
459×add-cbrt-cube
408×associate-/l/
351×neg-mul-1
292×cbrt-unprod
263×distribute-lft-out
196×cbrt-undiv
138×associate-/r/
117×add-exp-log
100×clear-num
98×frac-2neg
84×associate-*l/
63×flip3-+ flip-+
53×prod-exp
37×div-exp
12×distribute-neg-frac
9×pow1
4×expm1-log1p-u un-div-inv log1p-expm1-u add-log-exp
3×pow-prod-down
2×distribute-lft-neg-out pow1/3
1×distribute-frac-neg
Counts
4 → 19135
Calls
4 calls:
6.0ms
(cbrt (fabs z))
1.0ms
(cbrt (fabs z))
648.0ms
(/ (* (- (cbrt x)) (* (/ (cbrt x) (* (cbrt (fabs z)) (cbrt (fabs z)))) (/ y (+ z 1.0)))) (* (- (/ (fabs z) (cbrt x))) (cbrt (fabs z))))
187.0ms
(* (- (cbrt x)) (* (/ (cbrt x) (* (cbrt (fabs z)) (cbrt (fabs z)))) (/ y (+ z 1.0))))

series488.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(cbrt (fabs z))
99.0ms
(cbrt (fabs z))
89.0ms
(/ (* (- (cbrt x)) (* (/ (cbrt x) (* (cbrt (fabs z)) (cbrt (fabs z)))) (/ y (+ z 1.0)))) (* (- (/ (fabs z) (cbrt x))) (cbrt (fabs z))))
198.0ms
(* (- (cbrt x)) (* (/ (cbrt x) (* (cbrt (fabs z)) (cbrt (fabs z)))) (/ y (+ z 1.0))))

simplify5.6s

Algorithm
egg-herbie
Counts
19147 → 19147
Iterations

Useful iterations: 0 (305.0ms)

IterNodesCost
021313720901

prune1.4m

Filtered
19147 candidates to 15026 candidates (78.5%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New19147019147
Fresh088
Picked011
Done011
Total191471019157

Merged error: 0b

Counts
19157 → 10

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (+ z 1.0))
3.0b
(/ (/ x (/ z y)) (* z (+ z 1.0)))
5.2b
(/ x (/ z y))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
1684×times-frac
842×add-sqr-sqrt *-un-lft-identity
734×add-cube-cbrt
216×associate-*r*
162×associate-*l*
137×associate-/r/
103×associate-/l*
84×associate-/r*
63×div-inv
54×*-commutative distribute-lft-out unswap-sqr
31×add-exp-log add-cbrt-cube
19×associate-/l/
18×frac-2neg clear-num
15×cbrt-undiv div-exp
5×pow1
4×associate-*r/ prod-exp cbrt-unprod
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×+-commutative distribute-rgt-in distribute-lft-in flip3-+ flip-+
1×pow-prod-down
Counts
3 → 893
Calls
3 calls:
6.0ms
(* z (+ z 1.0))
34.0ms
(/ (/ x (/ z y)) (* z (+ z 1.0)))
7.0ms
(/ x (/ z y))

series121.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(* z (+ z 1.0))
51.0ms
(/ (/ x (/ z y)) (* z (+ z 1.0)))
21.0ms
(/ x (/ z y))

simplify170.0ms

Algorithm
egg-herbie
Counts
902 → 902
Iterations

Useful iterations: 1 (64.0ms)

IterNodesCost
0374210467
1500110332

prune2.2s

Filtered
902 candidates to 643 candidates (71.3%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New8993902
Fresh437
Picked011
Done022
Total9039912

Merged error: 0b

Counts
912 → 9

regimes135.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01612
11612

end0.0ms

sample525.0ms

Algorithm
intervals
Results
308.0ms10839×body80valid