Details

Time bar (total: 4.2s)

sample21.0ms

Algorithm
intervals
Results
9.0ms335×body80valid

simplify126.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1254
2584
3964
41314
51554
61794
73104
86434
911714
1024824
1137744
1250024

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
6.9b
(* (- y x) (/ z t))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1 add-log-exp
2×frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 49
Calls
2 calls:
3.0ms
(+ x (* (- y x) (/ z t)))
9.0ms
(* (- y x) (/ z t))

series78.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(+ x (* (- y x) (/ z t)))
45.0ms
(* (- y x) (/ z t))

simplify37.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0296310
11245287
25001275

prune120.0ms

Filtered
55 candidates to 39 candidates (70.9%)
Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

1.7b
(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
10.4b
(cbrt (/ z t))
10.4b
(cbrt (/ z t))
10.4b
(cbrt (/ z t))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
29×add-sqr-sqrt
28×*-un-lft-identity
27×times-frac
26×add-cube-cbrt
15×cbrt-div
9×pow1 add-exp-log frac-times
7×add-cbrt-cube
6×associate-*r/
5×associate-*l* associate-*l/
4×flip3-- flip-- add-log-exp
3×pow1/3 pow-prod-down prod-exp cbrt-unprod div-inv
1×associate-*r* *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 98
Calls
4 calls:
14.0ms
(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
2.0ms
(cbrt (/ z t))
2.0ms
(cbrt (/ z t))
3.0ms
(cbrt (/ z t))

series312.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
66.0ms
(cbrt (/ z t))
61.0ms
(cbrt (/ z t))
67.0ms
(cbrt (/ z t))

simplify80.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 3 (72.0ms)

IterNodesCost
0338774
1926705
23350693
35001669

prune326.0ms

Filtered
110 candidates to 88 candidates (80.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
1.7b
(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
10.4b
(cbrt (/ z t))
10.4b
(cbrt (/ z t))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
29×cbrt-prod
23×add-sqr-sqrt
22×*-un-lft-identity
20×add-cube-cbrt
18×times-frac
14×cbrt-div
9×pow1 add-exp-log frac-times
7×add-cbrt-cube
6×associate-*r/
5×associate-*l* associate-*l/
4×flip3-- flip-- add-log-exp
3×pow1/3 pow-prod-down prod-exp cbrt-unprod
2×div-inv
1×associate-*r* *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 87
Calls
4 calls:
1.0ms
(cbrt z)
13.0ms
(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
2.0ms
(cbrt (/ z t))
6.0ms
(cbrt (/ z t))

series423.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt z)
117.0ms
(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
64.0ms
(cbrt (/ z t))
59.0ms
(cbrt (/ z t))

simplify104.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (96.0ms)

IterNodesCost
0367666
11065595
24201583
35002566

prune345.0ms

Filtered
99 candidates to 77 candidates (77.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
1.7b
(* (- y x) (* (cbrt (/ z t)) (* (cbrt (/ 1 (* (cbrt t) (cbrt t)))) (cbrt (/ z (cbrt t))))))
3.8b
(cbrt (/ z (cbrt t)))
10.4b
(cbrt (/ z t))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
47×cbrt-prod
38×cbrt-div
29×frac-times
28×add-sqr-sqrt *-un-lft-identity
27×times-frac
26×add-cube-cbrt
22×associate-*r/
13×pow1 add-exp-log
11×associate-*l/
9×add-cbrt-cube
8×flip3-- flip--
6×pow-prod-down prod-exp cbrt-unprod
5×associate-*l*
4×add-log-exp
3×pow1/3
2×div-inv
1×associate-*r* *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 110
Calls
4 calls:
1.0ms
(cbrt z)
18.0ms
(* (- y x) (* (cbrt (/ z t)) (* (cbrt (/ 1 (* (cbrt t) (cbrt t)))) (cbrt (/ z (cbrt t))))))
3.0ms
(cbrt (/ z (cbrt t)))
2.0ms
(cbrt (/ z t))

series542.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt z)
123.0ms
(* (- y x) (* (cbrt (/ z t)) (* (cbrt (/ 1 (* (cbrt t) (cbrt t)))) (cbrt (/ z (cbrt t))))))
171.0ms
(cbrt (/ z (cbrt t)))
67.0ms
(cbrt (/ z t))

simplify73.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
06141284
122951164
250021158

prune569.0ms

Filtered
122 candidates to 103 candidates (84.4%)
Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes243.0ms

Accuracy

22.7% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.0b

bsearch114.0ms

Steps
ItersRangePoint
9
2.03575469983109e-112
9.748427019225516e-107
1.4493129888661283e-108
8
-6.784538403354215e-220
-1.3385853285654345e-222
-1.7719967109755303e-221

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04325
14325

end0.0ms

sample581.0ms

Algorithm
intervals
Results
289.0ms10672×body80valid