Details

Time bar (total: 3.4s)

sample21.0ms

Algorithm
intervals
Results
9.0ms277×body80valid

simplify94.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- z a))
3.3b
(fma (/ y (- z a)) (- z t) x)

rewrite8.0ms

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

series124.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ y (- z a))
89.0ms
(fma (/ y (- z a)) (- z t) x)

simplify127.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 4 (122.0ms)

IterNodesCost
0170266
1464247
21318247
34468246
45001244

prune173.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (/ y (- z a)) (- z t) x))
3.3b
(fma (/ y (- z a)) (- z t) x)
3.3b
(fma (/ y (- z a)) (- z t) x)
3.3b
(fma (/ y (- z a)) (- z t) x)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×cbrt-prod fma-udef
1×pow1/3
Counts
4 → 43
Calls
4 calls:
1.0ms
(cbrt (fma (/ y (- z a)) (- z t) x))
1.0ms
(fma (/ y (- z a)) (- z t) x)
1.0ms
(fma (/ y (- z a)) (- z t) x)
1.0ms
(fma (/ y (- z a)) (- z t) x)

series527.0ms

Counts
4 → 12
Calls
4 calls:
266.0ms
(cbrt (fma (/ y (- z a)) (- z t) x))
86.0ms
(fma (/ y (- z a)) (- z t) x)
90.0ms
(fma (/ y (- z a)) (- z t) x)
84.0ms
(fma (/ y (- z a)) (- z t) x)

simplify74.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 4 (68.0ms)

IterNodesCost
082333
1161295
2453293
31792290
45003287

prune225.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

3.3b
(fma (/ y (- z a)) (- z t) x)
3.3b
(fma (/ y (- z a)) (- z t) x)
3.3b
(fma (/ y (- z a)) (- z t) x)
3.3b
(fma (/ y (- z a)) (- z t) x)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
4×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
4 → 40
Calls
4 calls:
1.0ms
(fma (/ y (- z a)) (- z t) x)
1.0ms
(fma (/ y (- z a)) (- z t) x)
1.0ms
(fma (/ y (- z a)) (- z t) x)
1.0ms
(fma (/ y (- z a)) (- z t) x)

series377.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(fma (/ y (- z a)) (- z t) x)
93.0ms
(fma (/ y (- z a)) (- z t) x)
95.0ms
(fma (/ y (- z a)) (- z t) x)
94.0ms
(fma (/ y (- z a)) (- z t) x)

simplify50.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
040288
192252
2272252
31084252
45001252

prune265.0ms

Pruning

8 alts after pruning (5 fresh and 3 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))
11.0b
(/ (* y (- z t)) (- z a))

rewrite30.0ms

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:
8.0ms
(+ x (/ (* y (- z t)) (- z a)))
8.0ms
(* y (- z t))
11.0ms
(/ (* y (- z t)) (- z a))

series217.0ms

Counts
3 → 9
Calls
3 calls:
93.0ms
(+ x (/ (* y (- z t)) (- z a)))
43.0ms
(* y (- z t))
81.0ms
(/ (* y (- z t)) (- z a))

simplify62.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0425660
11856494
25001492

prune239.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes158.0ms

Accuracy

60.9% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.5b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03219
13219

end0.0ms

sample533.0ms

Algorithm
intervals
Results
276.0ms8719×body80valid
0.0ms1×body1280valid