Details

Time bar (total: 5.0s)

sample25.0ms

Algorithm
intervals
Results
8.0ms266×body80valid

simplify55.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1304
2654
31564
43024
54704
68654
712434
815454
917054
1017054

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: 6.4b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
6.4b
(/ x (* (- y z) (- t z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt flip3-- flip--
10×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
6×add-cube-cbrt
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 63
Calls
2 calls:
9.0ms
(* (- y z) (- t z))
12.0ms
(/ x (* (- y z) (- t z)))

series33.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* (- y z) (- t z))
26.0ms
(/ x (* (- y z) (- t z)))

simplify37.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0300403
11371359
25001355

prune226.0ms

Filtered
69 candidates to 51 candidates (26.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New63669
Fresh000
Picked011
Done000
Total63770

Merged error: 0.0b

Counts
70 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.9b
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
42×times-frac
40×*-un-lft-identity
36×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
11×associate-*l*
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
6×pow1 unswap-sqr
4×associate-/r/ add-log-exp
3×pow1/3
2×flip3-- flip-- div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 110
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
22.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

series98.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt x)
21.0ms
(cbrt x)
22.0ms
(cbrt x)
32.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

simplify60.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05521080
12559955
25001866

prune549.0ms

Filtered
122 candidates to 88 candidates (27.9%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1175122
Fresh235
Picked101
Done101
Total1218129

Merged error: 0.0b

Counts
129 → 8

localize21.0ms

Local error

Found 4 expressions with local error:

0.9b
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))
24.0b
(cbrt (* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z))))
24.0b
(cbrt (* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z))))
24.0b
(cbrt (* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z))))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
42×times-frac
37×*-un-lft-identity
36×associate-*r*
25×add-exp-log
23×add-cube-cbrt
20×cbrt-prod
18×add-cbrt-cube
11×associate-*l*
9×cbrt-div
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
6×pow1 unswap-sqr
4×frac-times associate-*r/ associate-*l/ associate-/r/ add-log-exp
3×pow1/3
2×flip3-- flip-- div-inv
1×pow-prod-down *-commutative
Counts
4 → 113
Calls
4 calls:
23.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))
13.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z))))
13.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z))))
13.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z))))

series258.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))
76.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z))))
76.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z))))
77.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z))))

simplify66.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
05981482
127261306
250011211

prune921.0ms

Filtered
125 candidates to 101 candidates (19.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1241125
Fresh167
Picked011
Done000
Total1258133

Merged error: 0.0b

Counts
133 → 8

localize26.0ms

Local error

Found 4 expressions with local error:

5.0b
(cbrt (/ (cbrt x) (- t z)))
24.0b
(cbrt (* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z))))
24.0b
(cbrt (* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z))))
24.0b
(cbrt (* (* (/ (* (cbrt x) (cbrt x)) (- y z)) (* (cbrt (/ (cbrt x) (- t z))) (cbrt (/ (cbrt x) (- t z))))) (cbrt (/ (cbrt x) (- t z)))))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
54×cbrt-prod
46×cbrt-div
33×add-sqr-sqrt *-un-lft-identity
30×times-frac
21×add-cube-cbrt
19×frac-times
15×associate-*l/
13×associate-*r/
6×distribute-lft-out-- difference-of-squares
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
2×associate-/r/
1×flip3-- flip-- div-inv
Counts
4 → 93
Calls
4 calls:
6.0ms
(cbrt (/ (cbrt x) (- t z)))
13.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z))))
13.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z))))
34.0ms
(cbrt (* (* (/ (* (cbrt x) (cbrt x)) (- y z)) (* (cbrt (/ (cbrt x) (- t z))) (cbrt (/ (cbrt x) (- t z))))) (cbrt (/ (cbrt x) (- t z)))))

series289.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(cbrt (/ (cbrt x) (- t z)))
78.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z))))
78.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z))))
81.0ms
(cbrt (* (* (/ (* (cbrt x) (cbrt x)) (- y z)) (* (cbrt (/ (cbrt x) (- t z))) (cbrt (/ (cbrt x) (- t z))))) (cbrt (/ (cbrt x) (- t z)))))

simplify46.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
05661512
114411417
250011259

prune965.0ms

Filtered
105 candidates to 89 candidates (15.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1041105
Fresh066
Picked011
Done101
Total1058113

Merged error: 0b

Counts
113 → 8

regimes452.0ms

Accuracy

31.7% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 2.0b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02515
12515

end0.0ms

sample613.0ms

Algorithm
intervals
Results
249.0ms8431×body80valid

Profiling

Loading profile data...