Details

Time bar (total: 2.6s)

sample29.0ms

Algorithm
intervals
Results
10.0ms325×body80valid

simplify103.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1254
2454
3844
41254
51494
61704
72844
84914
98244
1013444
1121284
1233854
1350024

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: 7.1b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z x)) t))
0.0b
(* y (- z x))
7.8b
(/ (* y (- z x)) t)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 61
Calls
3 calls:
5.0ms
(+ x (/ (* y (- z x)) t))
9.0ms
(* y (- z x))
6.0ms
(/ (* y (- z x)) t)

series30.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(+ x (/ (* y (- z x)) t))
8.0ms
(* y (- z x))
12.0ms
(/ (* y (- z x)) t)

simplify38.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0290325
11223280
25001280

prune101.0ms

Filtered
70 candidates to 45 candidates (35.7%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New601070
Fresh000
Picked101
Done000
Total611071

Merged error: 0.0b

Counts
71 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
0.5b
(cbrt t)
0.5b
(cbrt t)
4.8b
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
18.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series86.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt t)
21.0ms
(cbrt t)
24.0ms
(cbrt t)
19.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

simplify62.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0500954
12500845
25001783

prune139.0ms

Filtered
116 candidates to 85 candidates (26.7%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1142116
Fresh279
Picked011
Done000
Total11610126

Merged error: 0b

Counts
126 → 10

localize19.0ms

Local error

Found 4 expressions with local error:

4.8b
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))
5.8b
(cbrt (* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t))))
5.8b
(cbrt (* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t))))
5.8b
(cbrt (* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t))))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
40×times-frac
35×*-un-lft-identity
34×associate-*r*
25×add-exp-log
23×add-cube-cbrt
20×cbrt-prod
18×add-cbrt-cube
9×cbrt-div
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×frac-times associate-*r/ associate-*l/ add-log-exp
3×pow1/3
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 107
Calls
4 calls:
21.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))
11.0ms
(cbrt (* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t))))
11.0ms
(cbrt (* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t))))
11.0ms
(cbrt (* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t))))

series118.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))
35.0ms
(cbrt (* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t))))
33.0ms
(cbrt (* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t))))
32.0ms
(cbrt (* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t))))

simplify65.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05431308
126881154
250011095

prune168.0ms

Filtered
119 candidates to 97 candidates (18.5%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1190119
Fresh088
Picked011
Done011
Total11910129

Merged error: 0b

Counts
129 → 10

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ y (/ t (- z x))))
0.0b
(/ t (- z x))
5.9b
(/ y (/ t (- z x)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
105×*-un-lft-identity
103×add-sqr-sqrt
71×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip-- add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 151
Calls
3 calls:
18.0ms
(+ x (/ y (/ t (- z x))))
5.0ms
(/ t (- z x))
8.0ms
(/ y (/ t (- z x)))

series30.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(+ x (/ y (/ t (- z x))))
7.0ms
(/ t (- z x))
12.0ms
(/ y (/ t (- z x)))

simplify62.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05391150
123681110
250021107

prune127.0ms

Filtered
160 candidates to 120 candidates (25.0%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1591160
Fresh167
Picked011
Done022
Total16010170

Merged error: 0b

Counts
170 → 10

regimes335.0ms

Accuracy

19% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 2.2b

bsearch35.0ms

Steps
ItersRangePoint
8
2.3697824880505216e-117
1.0233270877152596e-113
1.5338507604042645e-115
6
-8.789307139906393e-06
-1.7188878136579925e-06
-8.649257231903327e-06

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03415
13815
23915
33915

end0.0ms

sample829.0ms

Algorithm
intervals
Results
336.0ms10653×body80valid

Profiling

Loading profile data...