Details

Time bar (total: 2.9s)

sample23.0ms

Algorithm
intervals
Results
11.0ms327×body80valid

simplify106.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1254
2454
3844
41254
51494
61704
72844
84914
98244
1013444
1125764
1238734
1350014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
6.0ms
(* y (- z x))
7.0ms
(/ (* y (- z x)) t)

series85.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* y (- z x))
50.0ms
(/ (* y (- z x)) t)

simplify33.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0231226
11033189
25002189

prune111.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- z x))
5.7b
(/ y (/ t (- z x)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 139
Calls
2 calls:
5.0ms
(/ t (- z x))
8.0ms
(/ y (/ t (- z x)))

series83.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ t (- z x))
56.0ms
(/ y (/ t (- z x)))

simplify60.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04811051
121901013
250011004

prune351.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- z x))
7.7b
(/ (/ y t) (/ 1 (- z x)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
696×times-frac
384×add-sqr-sqrt *-un-lft-identity
292×add-cube-cbrt
46×distribute-lft-out-- difference-of-squares
38×div-inv
31×associate-/r/
28×add-exp-log
26×associate-/r*
18×div-exp
16×add-cbrt-cube associate-/l*
15×flip3-- flip--
9×cbrt-undiv
3×pow1 rec-exp 1-exp
2×frac-2neg clear-num add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
2 → 372
Calls
2 calls:
5.0ms
(/ 1 (- z x))
15.0ms
(/ (/ y t) (/ 1 (- z x)))

series91.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(/ 1 (- z x))
52.0ms
(/ (/ y t) (/ 1 (- z x)))

simplify72.0ms

Algorithm
egg-herbie
Counts
378 → 378
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
016454160
150013758

prune733.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z x) t)
5.8b
(* y (/ (- z x) t))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 76
Calls
2 calls:
5.0ms
(/ (- z x) t)
10.0ms
(* y (/ (- z x) t))

series74.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (- z x) t)
49.0ms
(* y (/ (- z x) t))

simplify34.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0276403
11172372
25001366

prune156.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes107.0ms

Accuracy

14.1% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 2.2b

bsearch88.0ms

Steps
ItersRangePoint
9
2.7549977171994024e-45
1.0209164008026856e-35
1.2056496387991007e-37
8
-2.4985068588235734e-302
-1.8202780673007064e-306
-7.07003647724086e-303

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02810
12810

end0.0ms

sample550.0ms

Algorithm
intervals
Results
285.0ms10646×body80valid