Details

Time bar (total: 16.7s)

sample33.0ms

Algorithm
intervals
Results
10.0ms283×body80valid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0194
1444
2824
31324
41754
52084
62214
72214

prune11.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.0b

Counts
2 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- y t))
0.2b
(/ (* z (- y t)) 2.0)
5.7b
(/ x (/ (* z (- y t)) 2.0))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
27×add-sqr-sqrt
25×*-un-lft-identity
23×add-cube-cbrt
19×add-exp-log add-cbrt-cube
10×associate-/r*
7×cbrt-undiv div-exp
6×div-inv
5×pow1 associate-*r*
4×associate-*r/ associate-/l*
3×associate-*l* prod-exp cbrt-unprod add-log-exp
2×distribute-rgt-in sub-neg flip3-- frac-2neg distribute-lft-in clear-num flip-- associate-/l/
1×pow-prod-down associate-/r/ *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 97
Calls
3 calls:
6.0ms
(* z (- y t))
7.0ms
(/ (* z (- y t)) 2.0)
8.0ms
(/ x (/ (* z (- y t)) 2.0))

series28.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* z (- y t))
8.0ms
(/ (* z (- y t)) 2.0)
12.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify51.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0413592
11829518
25002515

prune153.0ms

Filtered
76 candidates to 106 candidates (-39.5%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1006106
Fresh011
Picked101
Done000
Total1017108

Merged error: 0.0b

Counts
108 → 7

localize6.0ms

Local error

Found 1 expressions with local error:

5.0b
(/ (/ x z) (/ (- y t) 2.0))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
637×times-frac
351×add-sqr-sqrt *-un-lft-identity
267×add-cube-cbrt
42×distribute-lft-out-- difference-of-squares
35×div-inv
19×associate-/r*
13×add-exp-log add-cbrt-cube associate-/l*
8×cbrt-undiv div-exp
1×pow1 frac-2neg clear-num associate-/r/ associate-/l/ add-log-exp
Counts
1 → 299
Calls
1 calls:
14.0ms
(/ (/ x z) (/ (- y t) 2.0))

series13.0ms

Counts
1 → 3
Calls
1 calls:
13.0ms
(/ (/ x z) (/ (- y t) 2.0))

simplify71.0ms

Algorithm
egg-herbie
Counts
302 → 302
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
015643639
150013548

prune342.0ms

Filtered
217 candidates to 302 candidates (-39.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New3011302
Fresh066
Picked011
Done000
Total3018309

Merged error: 0b

Counts
309 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.7b
(/ (/ (- y t) 2.0) (/ x (cbrt z)))
3.5b
(/ (/ 1 (* (cbrt z) (cbrt z))) (/ (/ (- y t) 2.0) (/ x (cbrt z))))

rewrite682.0ms

Algorithm
rewrite-expression-head
Rules
14076×times-frac
6083×add-sqr-sqrt *-un-lft-identity
4889×add-cube-cbrt
1554×cbrt-prod
805×div-inv
597×distribute-lft-out-- difference-of-squares
445×associate-/r*
167×add-exp-log
119×div-exp
67×add-cbrt-cube
57×cbrt-undiv
26×associate-/l*
15×prod-exp
10×rec-exp 1-exp associate-/r/
5×cbrt-unprod
4×pow1 add-log-exp
2×frac-2neg pow1/3 div-sub clear-num associate-/l/
Counts
4 → 3955
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
19.0ms
(/ (/ (- y t) 2.0) (/ x (cbrt z)))
120.0ms
(/ (/ 1 (* (cbrt z) (cbrt z))) (/ (/ (- y t) 2.0) (/ x (cbrt z))))

series114.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt z)
25.0ms
(cbrt z)
43.0ms
(/ (/ (- y t) 2.0) (/ x (cbrt z)))
25.0ms
(/ (/ 1 (* (cbrt z) (cbrt z))) (/ (/ (- y t) 2.0) (/ x (cbrt z))))

simplify1.1s

Algorithm
egg-herbie
Counts
3967 → 3967
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
0500290587

prune12.1s

Filtered
2661 candidates to 3967 candidates (-49.1%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New396703967
Fresh066
Picked011
Done011
Total396783975

Merged error: 0b

Counts
3975 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
5.8b
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
243×times-frac
184×add-sqr-sqrt
157×*-un-lft-identity
112×add-cube-cbrt
62×associate-*r*
46×add-exp-log
28×add-cbrt-cube
21×div-exp distribute-lft-out-- difference-of-squares
19×associate-/r*
13×associate-*l*
12×cbrt-undiv prod-exp
10×div-inv
9×unswap-sqr
6×cbrt-unprod
4×pow1
3×rec-exp 1-exp associate-/l*
2×associate-/r/ add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 208
Calls
2 calls:
8.0ms
(/ x (/ (- y t) 2.0))
31.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series21.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ x (/ (- y t) 2.0))
13.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify106.0ms

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
09151676
142801508
250011501

prune226.0ms

Filtered
149 candidates to 214 candidates (-43.6%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New2140214
Fresh055
Picked011
Done022
Total2148222

Merged error: 0b

Counts
222 → 8

regimes612.0ms

Accuracy

75.8% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 5.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02615
12615

end0.0ms

sample845.0ms

Algorithm
intervals
Results
530.0ms8728×body80valid

Profiling

Loading profile data...