Details

Time bar (total: 2.0s)

sample19.0ms

Algorithm
intervals
Results
8.0ms331×body80valid

simplify123.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0144
1284
2513
3903
41503
52143
63083
74473
85503
98653
1012313
1117253
1227283
1344663
1450013

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y x) t)
6.3b
(fma (/ (- y x) t) z x)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/l*
4×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
3×associate-/r*
2×pow1 expm1-log1p-u log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 50
Calls
2 calls:
11.0ms
(/ (- y x) t)
0.0ms
(fma (/ (- y x) t) z x)

series57.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ (- y x) t)
33.0ms
(fma (/ (- y x) t) z x)

simplify46.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0194271
1528254
21881245
35002245

prune133.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (- y x) (/ 1 t))
6.3b
(fma (* (- y x) (/ 1 t)) z x)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
13×*-un-lft-identity associate-*r*
11×add-exp-log times-frac
10×add-cube-cbrt
7×add-cbrt-cube
5×associate-*l*
4×pow1 prod-exp
3×unswap-sqr
2×expm1-log1p-u frac-times flip3-- div-exp associate-*l/ flip-- cbrt-unprod log1p-expm1-u add-log-exp
1×cbrt-undiv rec-exp 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative fma-udef div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 54
Calls
2 calls:
15.0ms
(* (- y x) (/ 1 t))
0.0ms
(fma (* (- y x) (/ 1 t)) z x)

series60.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(* (- y x) (/ 1 t))
33.0ms
(fma (* (- y x) (/ 1 t)) z x)

simplify33.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0277304
11127260
25001239

prune129.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* x z) t))
1.5b
(fma (/ z t) y (- x (/ (* x z) t)))
6.1b
(/ (* x z) t)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt *-un-lft-identity prod-diff
19×add-cube-cbrt
12×times-frac
8×add-exp-log add-cbrt-cube
5×add-log-exp
4×div-inv
3×pow1 expm1-log1p-u fma-neg associate-/r* log1p-expm1-u
2×cbrt-undiv div-exp
1×sub-neg flip3-- frac-2neg diff-log prod-exp clear-num flip-- cbrt-unprod fma-udef associate-/l* distribute-lft-out-- difference-of-squares
Counts
3 → 73
Calls
3 calls:
5.0ms
(- x (/ (* x z) t))
2.0ms
(fma (/ z t) y (- x (/ (* x z) t)))
3.0ms
(/ (* x z) t)

series81.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(- x (/ (* x z) t))
31.0ms
(fma (/ z t) y (- x (/ (* x z) t)))
19.0ms
(/ (* x z) t)

simplify43.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0323706
11341498
25001494

prune166.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* x (/ z t)))
1.5b
(fma (/ z t) y (- x (* x (/ z t))))
5.2b
(* x (/ z t))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity associate-*r*
10×times-frac
8×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
3×expm1-log1p-u fma-neg associate-*l* prod-diff log1p-expm1-u
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv sub-neg flip3-- diff-log associate-*r/ div-exp pow-prod-down *-commutative flip-- fma-udef div-inv
Counts
3 → 64
Calls
3 calls:
2.0ms
(- x (* x (/ z t)))
0.0ms
(fma (/ z t) y (- x (* x (/ z t))))
7.0ms
(* x (/ z t))

series82.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(- x (* x (/ z t)))
35.0ms
(fma (/ z t) y (- x (* x (/ z t))))
18.0ms
(* x (/ z t))

simplify37.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0263352
11139317
25001313

prune162.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes155.0ms

Accuracy

7% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 2.0b

bsearch64.0ms

Steps
ItersRangePoint
6
9.945522318963277e-301
7.498648071786797e-300
1.0116038839391772e-300
10
-3.312280366498348e-234
-1.1411647424802701e-250
-1.1500328735281971e-238

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0217
1217

end0.0ms

sample531.0ms

Algorithm
intervals
Results
270.0ms10577×body80valid