Details

Time bar (total: 2.6s)

sample20.0ms

Algorithm
intervals
Results
8.0ms342×body80valid

simplify117.0ms

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

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y x) t)
4.5b
(fma (/ (- y x) t) z x)

rewrite10.0ms

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:
8.0ms
(/ (- y x) t)
0.0ms
(fma (/ (- y x) t) z x)

series58.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (- y x) t)
33.0ms
(fma (/ (- y x) t) z x)

simplify45.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0194271
1528254
21881245
35002245

prune140.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- y x))
0.5b
(/ 1 (/ t (- y x)))
4.5b
(fma (/ 1 (/ t (- y x))) z x)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
103×add-sqr-sqrt *-un-lft-identity
71×add-cube-cbrt
26×associate-/r*
16×add-exp-log distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×flip3-- flip--
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num
1×pow-flip fma-udef inv-pow
Counts
3 → 159
Calls
3 calls:
5.0ms
(/ t (- y x))
10.0ms
(/ 1 (/ t (- y x)))
0.0ms
(fma (/ 1 (/ t (- y x))) z x)

series95.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ t (- y x))
32.0ms
(/ 1 (/ t (- y x)))
36.0ms
(fma (/ 1 (/ t (- y x))) z x)

simplify57.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04761139
121021012
25002885

prune285.0ms

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
(+ (/ z (/ t (- y x))) x)
0.0b
(/ t (- y x))
5.1b
(/ z (/ t (- y x)))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
246×times-frac
172×*-un-lft-identity
170×add-sqr-sqrt
120×add-cube-cbrt
68×fma-def
26×associate-/r*
25×distribute-lft-out-- difference-of-squares
18×associate-/r/
10×add-exp-log add-cbrt-cube div-inv
8×flip3-- flip--
6×associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u log1p-expm1-u
2×frac-2neg clear-num
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 225
Calls
3 calls:
61.0ms
(+ (/ z (/ t (- y x))) x)
6.0ms
(/ t (- y x))
9.0ms
(/ z (/ t (- y x)))

series119.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(+ (/ z (/ t (- y x))) x)
28.0ms
(/ t (- y x))
55.0ms
(/ z (/ t (- y x)))

simplify64.0ms

Algorithm
egg-herbie
Counts
234 → 234
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05501177
123931131
250011125

prune594.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

1.8b
(fma (/ z t) (- y x) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (/ z t) (- y x) x)

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(fma (/ z t) (- y x) x)

simplify40.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
04169
19162
226753
3126253
4500353

prune29.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes119.0ms

Accuracy

12.1% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.8b

bsearch67.0ms

Steps
ItersRangePoint
8
-1.081374042083366e-297
-4.491854459024507e-301
-9.026440363363594e-299
8
-2.0394064324876335e-16
-4.777878738898583e-21
-5.409344260818823e-20

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02412
12412

end0.0ms

sample569.0ms

Algorithm
intervals
Results
291.0ms10767×body80valid