Details

Time bar (total: 4.2s)

sample19.0ms

Algorithm
intervals
Results
8.0ms283×body80valid

simplify22.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0204
1464
2884
31384
41884
52364
62604
72634
82634

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

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 expm1-log1p-u frac-2neg associate-*r/ prod-exp clear-num cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- associate-/r/ flip--
Counts
2 → 75
Calls
2 calls:
10.0ms
(/ (* z (- y t)) 2.0)
6.0ms
(/ x (/ (* z (- y t)) 2.0))

series97.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ (* z (- y t)) 2.0)
45.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify43.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0354508
11518447
25001444

prune186.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite51.0ms

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×expm1-log1p-u frac-times associate-*r/ pow-prod-down associate-*l/ associate-/r/ *-commutative log1p-expm1-u add-log-exp
Counts
1 → 116
Calls
1 calls:
41.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify80.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
0760915
13671775
25002768

prune243.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite49.0ms

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 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
Counts
1 → 270
Calls
1 calls:
24.0ms
(/ (/ x (/ (- y t) 2.0)) z)

series74.0ms

Counts
1 → 3
Calls
1 calls:
74.0ms
(/ (/ x (/ (- y t) 2.0)) z)

simplify55.0ms

Algorithm
egg-herbie
Counts
273 → 273
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
013223095
150013005

prune828.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize12.0ms

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))

rewrite121.0ms

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×expm1-log1p-u rec-exp 1-exp log1p-expm1-u 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 → 285
Calls
4 calls:
0.0ms
(cbrt x)
1.0ms
(cbrt x)
93.0ms
(* (/ (/ (* (cbrt x) (cbrt x)) z) (- y t)) (/ (cbrt x) (/ 1 2.0)))
10.0ms
(/ (/ (* (cbrt x) (cbrt x)) z) (- y t))

series600.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt x)
174.0ms
(cbrt x)
72.0ms
(* (/ (/ (* (cbrt x) (cbrt x)) z) (- y t)) (/ (cbrt x) (/ 1 2.0)))
175.0ms
(/ (/ (* (cbrt x) (cbrt x)) z) (- y t))

simplify63.0ms

Algorithm
egg-herbie
Counts
297 → 297
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
014993417
150012902

prune890.0ms

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

bsearch77.0ms

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

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03317
13317

end0.0ms

sample479.0ms

Algorithm
intervals
Results
266.0ms8759×body80valid