Details

Time bar (total: 9.3s)

sample21.0ms

Algorithm
intervals
Results
11.0ms279×body80valid

simplify23.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0204
1464
2884
31384
41884
52364
62604
72634
82634

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

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
34×*-un-lft-identity
33×times-frac
32×add-cube-cbrt
18×prod-diff
13×add-exp-log add-cbrt-cube
11×distribute-rgt-in distribute-lft-in
7×associate-/r*
5×cbrt-undiv div-exp associate-*r* div-inv
4×pow1
3×associate-*l* associate-/l*
2×expm1-log1p-u sub-neg associate-*r/ prod-exp cbrt-unprod log1p-expm1-u 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 → 96
Calls
2 calls:
7.0ms
(* z (- y t))
8.0ms
(/ x (/ (* z (- y t)) 2.0))

series82.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* z (- y t))
48.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify54.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0433735
11861559
25001556

prune170.0ms

Filtered
102 candidates to 63 candidates (61.8%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New966102
Fresh011
Picked101
Done000
Total977104

Merged error: 0.0b

Counts
104 → 7

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite39.0ms

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 expm1-log1p-u frac-2neg clear-num associate-/r/ log1p-expm1-u associate-/l/ add-log-exp
Counts
1 → 301
Calls
1 calls:
14.0ms
(/ (/ x z) (/ (- y t) 2.0))

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(/ (/ x z) (/ (- y t) 2.0))

simplify77.0ms

Algorithm
egg-herbie
Counts
304 → 304
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
015663649
150013558

prune636.0ms

Filtered
304 candidates to 219 candidates (72.0%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New3004304
Fresh246
Picked011
Done000
Total3029311

Merged error: 0b

Counts
311 → 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))))

rewrite416.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 1694
Calls
4 calls:
1.0ms
(cbrt 2.0)
1.0ms
(cbrt 2.0)
33.0ms
(/ (/ x (cbrt z)) (/ (- y t) (cbrt 2.0)))
190.0ms
(* (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt z) (cbrt z))) (/ (/ x (cbrt z)) (/ (- y t) (cbrt 2.0))))

series373.0ms

Counts
4 → 8
Calls
4 calls:
0.0ms
(cbrt 2.0)
0.0ms
(cbrt 2.0)
209.0ms
(/ (/ 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))))

simplify282.0ms

Algorithm
egg-herbie
Counts
1702 → 1702
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
0500229872

prune5.4s

Filtered
1702 candidates to 1289 candidates (75.7%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New170201702
Fresh077
Picked011
Done011
Total170291711

Merged error: 0b

Counts
1711 → 9

localize11.0ms

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))

rewrite25.0ms

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×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 152
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))

series269.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(* (cbrt (/ x z)) (cbrt (/ x z)))
63.0ms
(cbrt (/ x z))
58.0ms
(cbrt (/ x z))
65.0ms
(cbrt (/ x z))

simplify76.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 3 (64.0ms)

IterNodesCost
02671139
19171091
235901046
350011022

prune495.0ms

Filtered
164 candidates to 127 candidates (77.4%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1640164
Fresh066
Picked011
Done022
Total1649173

Merged error: 0b

Counts
173 → 9

regimes270.0ms

Accuracy

84.7% (0.9b remaining)

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

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
03435
13725
24025
34025

end0.0ms

sample471.0ms

Algorithm
intervals
Results
261.0ms8721×body80valid