Details

Time bar (total: 4.2s)

sample29.0ms

Algorithm
intervals
Results
14.0ms283×body80valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0194
1444
2824
31324
41754
52084
62214
72214

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* z (- y t)) 2.0)
5.0b
(/ x (/ (* z (- y t)) 2.0))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
10×associate-/r*
7×cbrt-undiv div-exp
6×div-inv
4×associate-/l*
2×pow1 frac-2neg associate-*r/ prod-exp clear-num cbrt-unprod associate-/l/ add-log-exp
1×flip3-- associate-/r/ flip--
Counts
2 → 71
Calls
2 calls:
7.0ms
(/ (* z (- y t)) 2.0)
6.0ms
(/ x (/ (* z (- y t)) 2.0))

series96.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ (* z (- y t)) 2.0)
44.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify37.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0347491
11499430
25002427

prune188.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

3.9b
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
126×times-frac
103×add-sqr-sqrt
76×*-un-lft-identity
62×associate-*r*
55×add-cube-cbrt
40×add-exp-log
22×add-cbrt-cube
18×div-exp
13×associate-*l*
12×prod-exp
9×cbrt-undiv distribute-lft-out-- difference-of-squares unswap-sqr
6×cbrt-unprod
5×div-inv
3×pow1 rec-exp 1-exp
1×frac-times associate-*r/ pow-prod-down associate-*l/ associate-/r/ *-commutative add-log-exp
Counts
1 → 114
Calls
1 calls:
78.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series67.0ms

Counts
1 → 3
Calls
1 calls:
67.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify102.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
0758903
13639763
25001756

prune240.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

3.9b
(/ (/ x (/ (- y t) 2.0)) z)

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
594×times-frac
324×add-sqr-sqrt *-un-lft-identity
252×add-cube-cbrt
62×associate-/l*
36×distribute-lft-out-- difference-of-squares
17×div-inv
10×add-exp-log add-cbrt-cube
6×cbrt-undiv div-exp
4×associate-/r/
3×associate-/r*
1×pow1 frac-2neg clear-num associate-/l/ add-log-exp
Counts
1 → 268
Calls
1 calls:
24.0ms
(/ (/ x (/ (- y t) 2.0)) z)

series79.0ms

Counts
1 → 3
Calls
1 calls:
79.0ms
(/ (/ x (/ (- y t) 2.0)) z)

simplify65.0ms

Algorithm
egg-herbie
Counts
271 → 271
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
013203085
150012994

prune720.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.8b
(* (/ (/ (* (cbrt x) (cbrt x)) z) (- y t)) (/ (cbrt x) (/ 1 2.0)))
3.7b
(/ (/ (* (cbrt x) (cbrt x)) z) (- y t))

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
286×times-frac
223×add-sqr-sqrt
149×*-un-lft-identity
113×add-cube-cbrt
103×add-exp-log
83×associate-*r*
54×cbrt-prod div-exp
51×add-cbrt-cube
41×associate-*l*
32×cbrt-undiv
26×prod-exp
21×unswap-sqr
20×div-inv
16×cbrt-unprod
15×distribute-lft-out-- difference-of-squares
7×associate-/l*
6×pow1
5×associate-/r* associate-/r/
4×rec-exp 1-exp add-log-exp
2×flip3-- pow1/3 flip--
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
4 → 277
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
102.0ms
(* (/ (/ (* (cbrt x) (cbrt x)) z) (- y t)) (/ (cbrt x) (/ 1 2.0)))
13.0ms
(/ (/ (* (cbrt x) (cbrt x)) z) (- y t))

series624.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt x)
176.0ms
(cbrt x)
71.0ms
(* (/ (/ (* (cbrt x) (cbrt x)) z) (- y t)) (/ (cbrt x) (/ 1 2.0)))
204.0ms
(/ (/ (* (cbrt x) (cbrt x)) z) (- y t))

simplify69.0ms

Algorithm
egg-herbie
Counts
289 → 289
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
014903374
150022859

prune816.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes146.0ms

Accuracy

57.3% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 5.2b

bsearch70.0ms

Steps
ItersRangePoint
8
4.6451960339662005e-91
4.6133484754288184e-88
4.5645374866027015e-88
7
-1.2752539546885035e-56
-4.136654986452509e-58
-2.0397032106121382e-57

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02914
12914

end0.0ms

sample484.0ms

Algorithm
intervals
Results
260.0ms8759×body80valid