Details

Time bar (total: 3.8s)

sample32.0ms

Algorithm
intervals
Results
19.0ms285×body80valid

simplify63.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0185
1335
2614
31134
41734
52324
62804
73534
84854
96444
1010954
1113194
1214914
1315134
1415134

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- z a))
4.2b
(fma (/ y (- z a)) (- z t) x)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/r*
4×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
3×associate-/l*
2×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 49
Calls
2 calls:
5.0ms
(/ y (- z a))
0.0ms
(fma (/ y (- z a)) (- z t) x)

series114.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ y (- z a))
84.0ms
(fma (/ y (- z a)) (- z t) x)

simplify109.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 4 (101.0ms)

IterNodesCost
0170266
1464247
21318247
34468246
45001244

prune164.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z a) y)
0.6b
(/ 1 (/ (- z a) y))
4.2b
(fma (/ 1 (/ (- z a) y)) (- z t) x)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
132×times-frac
101×add-sqr-sqrt *-un-lft-identity
69×add-cube-cbrt
22×associate-/r*
16×add-exp-log distribute-lft-out-- difference-of-squares
10×add-cbrt-cube
8×div-exp associate-/l*
6×div-inv
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num associate-/l/
1×flip3-- pow-flip div-sub associate-/r/ flip-- fma-udef inv-pow
Counts
3 → 152
Calls
3 calls:
9.0ms
(/ (- z a) y)
12.0ms
(/ 1 (/ (- z a) y))
0.0ms
(fma (/ 1 (/ (- z a) y)) (- z t) x)

series201.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(/ (- z a) y)
75.0ms
(/ 1 (/ (- z a) y))
97.0ms
(fma (/ 1 (/ (- z a) y)) (- z t) x)

simplify51.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04661074
11946948
25001842

prune334.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z t)) (- z a)))
0.0b
(* y (- z t))
10.7b
(/ (* y (- z t)) (- z a))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt *-un-lft-identity
20×add-cube-cbrt
18×prod-diff
11×distribute-rgt-in distribute-lft-in
10×add-exp-log add-cbrt-cube
5×pow1 times-frac associate-*r* associate-/r* add-log-exp
4×associate-*r/
3×expm1-log1p-u flip3-- fma-def associate-*l* flip-- log1p-expm1-u distribute-lft-out-- difference-of-squares
2×cbrt-undiv sub-neg div-exp prod-exp associate-/r/ 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* unswap-sqr
Counts
3 → 94
Calls
3 calls:
11.0ms
(+ x (/ (* y (- z t)) (- z a)))
12.0ms
(* y (- z t))
13.0ms
(/ (* y (- z t)) (- z a))

series175.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(+ x (/ (* y (- z t)) (- z a)))
39.0ms
(* y (- z t))
65.0ms
(/ (* y (- z t)) (- z a))

simplify64.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0425660
11856494
25001492

prune215.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ y (/ (- z a) (- z t))))
0.0b
(/ (- z a) (- z t))
2.4b
(/ y (/ (- z a) (- z t)))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
198×*-un-lft-identity
196×add-sqr-sqrt
92×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
10×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u fma-def log1p-expm1-u
2×frac-2neg clear-num associate-/l/
1×+-commutative flip3-+ div-sub sum-log flip-+ distribute-lft-out
Counts
3 → 215
Calls
3 calls:
44.0ms
(+ x (/ y (/ (- z a) (- z t))))
12.0ms
(/ (- z a) (- z t))
14.0ms
(/ y (/ (- z a) (- z t)))

series274.0ms

Counts
3 → 9
Calls
3 calls:
93.0ms
(+ x (/ y (/ (- z a) (- z t))))
57.0ms
(/ (- z a) (- z t))
124.0ms
(/ y (/ (- z a) (- z t)))

simplify95.0ms

Algorithm
egg-herbie
Counts
224 → 224
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
07161914
131141855
250011853

prune642.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes179.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample922.0ms

Algorithm
intervals
Results
646.0ms8769×body80valid