Details

Time bar (total: 9.7s)

sample22.0ms

Algorithm
intervals
Results
11.0ms279×body80valid

simplify24.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0194
1444
2824
31324
41754
52084
62214
72214

prune6.0ms

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: 5.9b

Counts
2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
5.9b
(/ x (/ (* z (- y t)) 2.0))

rewrite17.0ms

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:
6.0ms
(* z (- y t))
8.0ms
(/ x (/ (* z (- y t)) 2.0))

series84.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(* z (- y t))
44.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify43.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0353467
11535417
25001414

prune156.0ms

Filtered
80 candidates to 57 candidates (71.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New74680
Fresh011
Picked101
Done000
Total75782

Merged error: 0.0b

Counts
82 → 7

localize6.0ms

Local error

Found 1 expressions with local error:

3.1b
(/ (/ x z) (/ (- y t) 2.0))

rewrite38.0ms

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))

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(/ (/ x z) (/ (- y t) 2.0))

simplify68.0ms

Algorithm
egg-herbie
Counts
302 → 302
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
015643639
150013548

prune674.0ms

Filtered
302 candidates to 217 candidates (71.9%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New2984302
Fresh246
Picked011
Done000
Total3009309

Merged error: 0b

Counts
309 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt 2.0)
1.0b
(cbrt 2.0)
1.1b
(/ (/ x (cbrt z)) (/ (- y t) (cbrt 2.0)))
2.0b
(* (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt z) (cbrt z))) (/ (/ x (cbrt z)) (/ (- y t) (cbrt 2.0))))

rewrite412.0ms

Algorithm
rewrite-expression-head
Rules
4141×times-frac
2282×add-sqr-sqrt
2210×*-un-lft-identity
1670×add-cube-cbrt
1314×cbrt-prod
753×associate-*r*
270×distribute-lft-out-- difference-of-squares
146×add-exp-log
117×div-inv
82×add-cbrt-cube
68×cbrt-undiv div-exp
45×prod-exp cbrt-unprod
34×associate-/r*
22×associate-/l*
20×unswap-sqr
6×pow1
5×associate-*l*
4×add-log-exp
2×pow1/3 associate-/r/
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
4 → 1686
Calls
4 calls:
1.0ms
(cbrt 2.0)
1.0ms
(cbrt 2.0)
27.0ms
(/ (/ x (cbrt z)) (/ (- y t) (cbrt 2.0)))
189.0ms
(* (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt z) (cbrt z))) (/ (/ x (cbrt z)) (/ (- y t) (cbrt 2.0))))

series386.0ms

Counts
4 → 8
Calls
4 calls:
0.0ms
(cbrt 2.0)
0.0ms
(cbrt 2.0)
222.0ms
(/ (/ x (cbrt z)) (/ (- y t) (cbrt 2.0)))
164.0ms
(* (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt z) (cbrt z))) (/ (/ x (cbrt z)) (/ (- y t) (cbrt 2.0))))

simplify305.0ms

Algorithm
egg-herbie
Counts
1694 → 1694
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
0500229820

prune5.8s

Filtered
1694 candidates to 1281 candidates (75.6%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New169401694
Fresh077
Picked011
Done011
Total169491703

Merged error: 0b

Counts
1703 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ x z)) (cbrt (/ x z)))
12.3b
(cbrt (/ x z))
12.3b
(cbrt (/ x z))
12.3b
(cbrt (/ x z))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 144
Calls
4 calls:
12.0ms
(* (cbrt (/ x z)) (cbrt (/ x z)))
2.0ms
(cbrt (/ x z))
2.0ms
(cbrt (/ x z))
2.0ms
(cbrt (/ x z))

series288.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(* (cbrt (/ x z)) (cbrt (/ x z)))
69.0ms
(cbrt (/ x z))
62.0ms
(cbrt (/ x z))
68.0ms
(cbrt (/ x z))

simplify79.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 3 (67.0ms)

IterNodesCost
02601109
19021061
235251016
35001992

prune384.0ms

Filtered
156 candidates to 119 candidates (76.3%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1560156
Fresh066
Picked011
Done022
Total1569165

Merged error: 0b

Counts
165 → 9

regimes288.0ms

Accuracy

84.7% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 5.9b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
03435
13725
24025
34025

end0.0ms

sample473.0ms

Algorithm
intervals
Results
258.0ms8721×body80valid