Details

Time bar (total: 4.4s)

sample17.0ms

Algorithm
intervals
Results
8.0ms266×body80valid

simplify63.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

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: 5.7b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
5.6b
(/ 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:
12.0ms
(* (- y z) (- t z))
9.0ms
(/ x (* (- y z) (- t z)))

series151.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* (- y z) (- t z))
119.0ms
(/ x (* (- y z) (- t z)))

simplify47.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0300403
11371359
25001355

prune149.0ms

Filtered
69 candidates to 51 candidates (73.9%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New60969
Fresh000
Picked101
Done000
Total61970

Merged error: 0.0b

Counts
70 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

rewrite32.0ms

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)
24.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

series692.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt x)
187.0ms
(cbrt x)
180.0ms
(cbrt x)
145.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

simplify68.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
05321044
12672853
25001794

prune293.0ms

Filtered
122 candidates to 93 candidates (76.2%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1202122
Fresh178
Picked101
Done000
Total1229131

Merged error: 0b

Counts
131 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))
26.9b
(cbrt (* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z))))
26.9b
(cbrt (* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z))))
26.9b
(cbrt (* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z))))

rewrite71.0ms

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)))
17.0ms
(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))))

series1.0s

Counts
4 → 12
Calls
4 calls:
148.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))
288.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z))))
291.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z))))
283.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z))))

simplify70.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05981482
127261306
250011211

prune394.0ms

Filtered
125 candidates to 101 candidates (80.8%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1250125
Fresh088
Picked011
Done000
Total1259134

Merged error: 0b

Counts
134 → 9

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
1.6b
(/ (/ x (- y z)) (- t z))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
176×add-sqr-sqrt *-un-lft-identity
88×add-cube-cbrt
44×distribute-lft-out-- difference-of-squares
24×associate-/l*
16×associate-/r/
10×associate-/r*
9×add-exp-log add-cbrt-cube
8×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 185
Calls
2 calls:
5.0ms
(/ x (- y z))
12.0ms
(/ (/ x (- y z)) (- t z))

series148.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ x (- y z))
120.0ms
(/ (/ x (- y z)) (- t z))

simplify66.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
06361735
123041691
250011691

prune320.0ms

Filtered
191 candidates to 128 candidates (67.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1892191
Fresh347
Picked011
Done011
Total1928200

Merged error: 0b

Counts
200 → 8

regimes180.0ms

Accuracy

0% (1.9b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01632
11632

end0.0ms

sample487.0ms

Algorithm
intervals
Results
265.0ms8451×body80valid

Profiling

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