Details

Time bar (total: 3.0s)

sample36.0ms

Algorithm
intervals
Results
25.0ms290×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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.8b

localize8.0ms

Local error

Found 1 expressions with local error:

4.7b
(/ x (/ (* z (- y t)) 2.0))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
33×times-frac
17×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×associate-/r*
5×cbrt-undiv div-exp div-inv
3×associate-/l*
1×pow1 expm1-log1p-u frac-2neg prod-exp clear-num associate-/r/ cbrt-unprod log1p-expm1-u add-log-exp
Counts
1 → 50
Calls
1 calls:
6.0ms
(/ x (/ (* z (- y t)) 2.0))

series44.0ms

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

simplify42.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0281376
11213339
25002338

prune135.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ 2.0 (* z (- y t)))
4.5b
(* x (/ 2.0 (* z (- y t))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
9×add-sqr-sqrt associate-*r*
7×add-cube-cbrt *-un-lft-identity
6×times-frac
5×associate-*r/ prod-exp cbrt-unprod
4×pow1 cbrt-undiv div-exp associate-/r/
3×associate-*l* associate-/l*
2×expm1-log1p-u flip3-- flip-- log1p-expm1-u div-inv add-log-exp
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative unswap-sqr
Counts
2 → 56
Calls
2 calls:
5.0ms
(/ 2.0 (* z (- y t)))
15.0ms
(* x (/ 2.0 (* z (- y t))))

series78.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ 2.0 (* z (- y t)))
49.0ms
(* x (/ 2.0 (* z (- y t))))

simplify36.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0234310
11066253
25001253

prune135.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ 1 (/ (/ (* z (- y t)) 2.0) x))
4.6b
(/ (/ (* z (- y t)) 2.0) x)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
228×times-frac
100×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
45×add-exp-log
28×div-exp associate-/r*
25×add-cbrt-cube
22×div-inv
14×cbrt-undiv
10×associate-/l*
4×rec-exp 1-exp prod-exp
3×pow1
2×expm1-log1p-u frac-2neg clear-num cbrt-unprod log1p-expm1-u add-log-exp
1×pow-flip associate-/r/ associate-/l/ inv-pow
Counts
2 → 184
Calls
2 calls:
13.0ms
(/ 1 (/ (/ (* z (- y t)) 2.0) x))
7.0ms
(/ (/ (* z (- y t)) 2.0) x)

series163.0ms

Counts
2 → 6
Calls
2 calls:
97.0ms
(/ 1 (/ (/ (* z (- y t)) 2.0) x))
67.0ms
(/ (/ (* z (- y t)) 2.0) x)

simplify91.0ms

Algorithm
egg-herbie
Counts
190 → 190
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
07631757
138041532
250011396

prune303.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ 2.0 (* z (- y t)))
4.5b
(/ (/ 2.0 (* z (- y t))) (/ 1 x))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
252×times-frac
102×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
46×add-exp-log
31×associate-/r/
30×associate-*r/
28×div-exp add-cbrt-cube
26×div-inv
15×cbrt-undiv flip3-- flip--
14×associate-/r*
12×associate-/l*
5×prod-exp
3×rec-exp 1-exp cbrt-unprod
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 196
Calls
2 calls:
5.0ms
(/ 2.0 (* z (- y t)))
16.0ms
(/ (/ 2.0 (* z (- y t))) (/ 1 x))

series126.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ 2.0 (* z (- y t)))
98.0ms
(/ (/ 2.0 (* z (- y t))) (/ 1 x))

simplify49.0ms

Algorithm
egg-herbie
Counts
202 → 202
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010271996
150011728

prune377.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes146.0ms

Accuracy

47% (3.1b remaining)

Error of 3.1b against oracle of 0.0b and baseline of 5.8b

bsearch150.0ms

Steps
ItersRangePoint
7
8.26033697589107e-52
1.9586199034170327e-50
1.827128106419149e-51
5
2.132403647648476e-230
6.748727538830997e-230
2.3904605014014527e-230
7
-9.320325772220756e-304
-2.1407810415923667e-305
-2.164808177348817e-305
6
-2.5227571926526275e+91
-3.0093764717053964e+90
-3.2537193603035936e+90

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03625
13625

end0.0ms

sample909.0ms

Algorithm
intervals
Results
679.0ms8800×body80valid