Details

Time bar (total: 2.6s)

sample19.0ms

Algorithm
intervals
Results
8.0ms335×body80valid

simplify119.0ms

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: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

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:
6.0ms
(/ (- y x) t)
1.0ms
(fma (/ (- y x) t) z x)

series62.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ (- y x) t)
36.0ms
(fma (/ (- y x) t) z x)

simplify46.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0194271
1528254
21881245
35002245

prune123.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- y x))
0.2b
(/ 1 (/ t (- y x)))
5.8b
(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))
9.0ms
(/ 1 (/ t (- y x)))
1.0ms
(fma (/ 1 (/ t (- y x))) z x)

series97.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(/ t (- y x))
36.0ms
(/ 1 (/ t (- y x)))
33.0ms
(fma (/ 1 (/ t (- y x))) z x)

simplify53.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04761139
121021012
25002885

prune269.0ms

Pruning

3 alts after pruning (2 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))
6.2b
(/ z (/ t (- y x)))

rewrite56.0ms

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:
26.0ms
(+ (/ z (/ t (- y x))) x)
8.0ms
(/ t (- y x))
9.0ms
(/ z (/ t (- y x)))

series116.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(+ (/ z (/ t (- y x))) x)
27.0ms
(/ t (- y x))
55.0ms
(/ z (/ t (- y x)))

simplify65.0ms

Algorithm
egg-herbie
Counts
234 → 234
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05501177
123931131
250011125

prune553.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* (- y x) z) t))
0.0b
(* (- y x) z)
8.2b
(/ (* (- y x) z) t)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
8×add-cube-cbrt
5×pow1 associate-*l* add-log-exp
4×associate-*l/
3×expm1-log1p-u fma-def times-frac associate-*r* associate-/r* log1p-expm1-u
2×cbrt-undiv flip3-- div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 66
Calls
3 calls:
5.0ms
(+ x (/ (* (- y x) z) t))
6.0ms
(* (- y x) z)
10.0ms
(/ (* (- y x) z) t)

series108.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(+ x (/ (* (- y x) z) t))
28.0ms
(* (- y x) z)
42.0ms
(/ (* (- y x) z) t)

simplify40.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0296337
11154289
25002284

prune149.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes134.0ms

Accuracy

84.3% (0.9b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 6.0b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03737
13737

end0.0ms

sample536.0ms

Algorithm
intervals
Results
279.0ms10672×body80valid