Details

Time bar (total: 4.5s)

sample21.0ms

Algorithm
intervals
Results
9.0ms337×body80valid

simplify124.0ms

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

prune7.0ms

Filtered
1 candidates to 1 candidates (100.0%)
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)
6.0b
(fma (/ (- y x) t) z x)

rewrite11.0ms

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:
9.0ms
(/ (- y x) t)
0.0ms
(fma (/ (- y x) t) z x)

series64.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ (- y x) t)
38.0ms
(fma (/ (- y x) t) z x)

simplify45.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0194271
1528254
21881245
35002245

prune129.0ms

Filtered
56 candidates to 41 candidates (73.2%)
Pruning

4 alts after pruning (3 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)))
6.0b
(fma (/ 1 (/ t (- y x))) z x)

rewrite25.0ms

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))
11.0ms
(/ 1 (/ t (- y x)))
0.0ms
(fma (/ 1 (/ t (- y x))) z x)

series95.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(/ t (- y x))
35.0ms
(/ 1 (/ t (- y x)))
32.0ms
(fma (/ 1 (/ t (- y x))) z x)

simplify48.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04761139
121021012
25002885

prune282.0ms

Filtered
168 candidates to 89 candidates (53.0%)
Pruning

4 alts after pruning (3 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))
6.4b
(/ z (/ t (- y x)))

rewrite109.0ms

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:
73.0ms
(+ (/ z (/ t (- y x))) x)
6.0ms
(/ t (- y x))
10.0ms
(/ z (/ t (- y x)))

series118.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(+ (/ z (/ t (- y x))) x)
28.0ms
(/ t (- y x))
56.0ms
(/ z (/ t (- y x)))

simplify66.0ms

Algorithm
egg-herbie
Counts
234 → 234
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05501177
123931131
250011125

prune610.0ms

Filtered
234 candidates to 186 candidates (79.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (/ z t) (/ 1 (- y x))) x)
0.0b
(/ 1 (- y x))
5.4b
(/ (/ z t) (/ 1 (- y x)))

rewrite274.0ms

Algorithm
rewrite-expression-head
Rules
1353×times-frac
730×*-un-lft-identity
728×add-sqr-sqrt
558×add-cube-cbrt
278×fma-def
85×distribute-lft-out-- difference-of-squares
73×div-inv
58×associate-/r/
29×add-exp-log
28×flip3-- flip--
26×associate-/r*
18×div-exp
17×add-cbrt-cube
16×associate-/l*
9×cbrt-undiv
5×add-log-exp
4×pow1
3×expm1-log1p-u rec-exp 1-exp log1p-expm1-u
2×frac-2neg clear-num
1×+-commutative pow-flip flip3-+ sum-log flip-+ associate-/l/ distribute-lft-out inv-pow
Counts
3 → 668
Calls
3 calls:
182.0ms
(+ (/ (/ z t) (/ 1 (- y x))) x)
6.0ms
(/ 1 (- y x))
17.0ms
(/ (/ z t) (/ 1 (- y x)))

series125.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(+ (/ (/ z t) (/ 1 (- y x))) x)
39.0ms
(/ 1 (- y x))
53.0ms
(/ (/ z t) (/ 1 (- y x)))

simplify82.0ms

Algorithm
egg-herbie
Counts
677 → 677
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
017154284
150013895

prune1.6s

Filtered
677 candidates to 449 candidates (66.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes85.0ms

Accuracy

0% (2.0b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1135

end0.0ms

sample564.0ms

Algorithm
intervals
Results
280.0ms10602×body80valid