Details

Time bar (total: 8.2s)

sample27.0ms

Algorithm
intervals
Results
9.0ms281×body80valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0194
1444
2824
31324
41754
52084
62214
72214

prune12.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.7b

Counts
2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
3.6b
(/ x (/ (* z (- y t)) 2.0))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
33×times-frac
24×add-sqr-sqrt
22×*-un-lft-identity
20×add-cube-cbrt
13×add-exp-log add-cbrt-cube
7×associate-/r*
5×cbrt-undiv div-exp associate-*r* div-inv
4×pow1
3×associate-*l* associate-/l*
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ prod-exp cbrt-unprod add-log-exp
1×flip3-- frac-2neg pow-prod-down clear-num associate-/r/ *-commutative flip-- distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 74
Calls
2 calls:
10.0ms
(* z (- y t))
8.0ms
(/ x (/ (* z (- y t)) 2.0))

series75.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* z (- y t))
42.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify43.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0353467
11535417
25002414

prune300.0ms

Filtered
80 candidates to 57 candidates (71.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New73780
Fresh101
Picked011
Done000
Total74882

Merged error: 0.0b

Counts
82 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- y t))
0.4b
(/ 1 (* z (- y t)))
3.3b
(* (/ 1 (* z (- y t))) (* x 2.0))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
31×prod-exp add-cbrt-cube
13×pow1 add-sqr-sqrt cbrt-unprod
12×div-exp associate-*l*
11×*-un-lft-identity
9×add-cube-cbrt
6×cbrt-undiv rec-exp times-frac 1-exp associate-*r/ associate-*r*
5×pow-prod-down
4×associate-/r/
3×flip3-- flip-- associate-/l* add-log-exp
2×distribute-rgt-in sub-neg pow-flip distribute-lft-in *-commutative div-inv
1×frac-2neg associate-*l/ clear-num associate-/r* distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
3 → 97
Calls
3 calls:
6.0ms
(* z (- y t))
6.0ms
(/ 1 (* z (- y t)))
11.0ms
(* (/ 1 (* z (- y t))) (* x 2.0))

series152.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(* z (- y t))
27.0ms
(/ 1 (* z (- y t)))
92.0ms
(* (/ 1 (* z (- y t))) (* x 2.0))

simplify51.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0380520
11876407
25002398

prune260.0ms

Filtered
106 candidates to 53 candidates (50.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1060106
Fresh066
Picked011
Done011
Total1068114

Merged error: 0.0b

Counts
114 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)
3.1b
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0)))

rewrite259.0ms

Algorithm
rewrite-expression-head
Rules
536×times-frac
421×add-sqr-sqrt
259×*-un-lft-identity
225×cbrt-prod
223×add-cube-cbrt
137×associate-*l*
119×associate-*r*
40×add-exp-log
35×unswap-sqr
25×add-cbrt-cube
18×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
14×div-inv
9×prod-exp cbrt-unprod
6×pow1
4×add-log-exp
3×pow1/3
2×associate-/r/
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 354
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
229.0ms
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0)))

series585.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt x)
169.0ms
(cbrt x)
167.0ms
(cbrt x)
75.0ms
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0)))

simplify77.0ms

Algorithm
egg-herbie
Counts
366 → 366
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
016574308
150014200

prune1.8s

Filtered
366 candidates to 320 candidates (87.4%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New3651366
Fresh055
Picked011
Done022
Total3659374

Merged error: 0b

Counts
374 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt (* (cbrt x) (cbrt x))) (- y t))) (/ (cbrt (cbrt x)) (/ 1 2.0)))
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (* (cbrt x) (cbrt x)))
3.1b
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt (* (cbrt x) (cbrt x))) (- y t)))

rewrite153.0ms

Algorithm
rewrite-expression-head
Rules
502×times-frac
329×add-sqr-sqrt
274×cbrt-prod
250×*-un-lft-identity
242×add-cube-cbrt
205×add-exp-log
148×associate-*r*
138×associate-*l*
96×div-exp
83×add-cbrt-cube
71×prod-exp
57×cbrt-undiv
45×cbrt-unprod
21×unswap-sqr
18×div-inv
11×pow1
7×rec-exp 1-exp
6×frac-times associate-*l/
4×associate-*r/ pow-prod-down associate-/r/ distribute-lft-out-- add-log-exp difference-of-squares
2×pow1/3 *-commutative
1×flip3-- flip--
Counts
4 → 427
Calls
4 calls:
47.0ms
(* (* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt (* (cbrt x) (cbrt x))) (- y t))) (/ (cbrt (cbrt x)) (/ 1 2.0)))
1.0ms
(cbrt (cbrt x))
4.0ms
(cbrt (* (cbrt x) (cbrt x)))
70.0ms
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt (* (cbrt x) (cbrt x))) (- y t)))

series880.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(* (* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt (* (cbrt x) (cbrt x))) (- y t))) (/ (cbrt (cbrt x)) (/ 1 2.0)))
244.0ms
(cbrt (cbrt x))
267.0ms
(cbrt (* (cbrt x) (cbrt x)))
294.0ms
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt (* (cbrt x) (cbrt x))) (- y t)))

simplify98.0ms

Algorithm
egg-herbie
Counts
439 → 439
Iterations

Useful iterations: 1 (41.0ms)

IterNodesCost
022217074
150016553

prune2.2s

Filtered
439 candidates to 358 candidates (81.5%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New4390439
Fresh055
Picked011
Done033
Total4399448

Merged error: 0b

Counts
448 → 9

regimes468.0ms

Accuracy

52.8% (2.5b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 5.4b

bsearch4.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
03021
13312
23612
33612

end0.0ms

sample663.0ms

Algorithm
intervals
Results
289.0ms8762×body80valid

Profiling

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