Details

Time bar (total: 2.5s)

sample23.0ms

Algorithm
intervals
Results
9.0ms333×body80valid

simplify47.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 7 (21.0ms)

IterNodesCost
0164
1324
2714
31604
42744
54624
67274
78913
810833
912163
1012693
1112693

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

2.5b
(fma (/ y a) (- t z) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
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:
1.0ms
(fma (/ y a) (- t z) x)

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(fma (/ y a) (- t z) x)

simplify39.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
04169
19462
227253
3130853
4500153

prune38.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (/ y a) (- t z) x))
2.5b
(fma (/ y a) (- t z) x)
2.5b
(fma (/ y a) (- t z) x)
2.5b
(fma (/ y a) (- t z) x)

rewrite4.0ms

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

series316.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt (fma (/ y a) (- t z) x))
42.0ms
(fma (/ y a) (- t z) x)
45.0ms
(fma (/ y a) (- t z) x)
42.0ms
(fma (/ y a) (- t z) x)

simplify36.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (31.0ms)

IterNodesCost
0117320
1285290
21046260
35002255

prune167.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
7.6b
(/ (* y (- z t)) a)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt prod-diff
37×*-un-lft-identity
33×add-cube-cbrt
12×times-frac
11×distribute-rgt-in distribute-lft-in
10×add-exp-log add-cbrt-cube
pow1 associate-*r* add-log-exp
associate-*r/ div-inv
expm1-log1p-u sub-neg flip3-- fma-neg associate-*l* associate-/r* flip-- log1p-expm1-u
cbrt-undiv div-exp prod-exp cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares
frac-2neg diff-log pow-prod-down clear-num *-commutative associate-/l* unswap-sqr
Counts
3 → 111
Calls
3 calls:
6.0ms
(- x (/ (* y (- z t)) a))
7.0ms
(* y (- z t))
8.0ms
(/ (* y (- z t)) a)

series139.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(- x (/ (* y (- z t)) a))
36.0ms
(* y (- z t))
51.0ms
(/ (* y (- z t)) a)

simplify66.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05051133
12195751
25001747

prune198.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* y (/ (- z t) a)))
0.0b
(/ (- z t) a)
6.3b
(* y (/ (- z t) a))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
39×*-un-lft-identity
31×times-frac
25×add-cube-cbrt
19×associate-*r*
10×add-exp-log add-cbrt-cube
distribute-lft-out-- difference-of-squares
pow1 associate-/l* add-log-exp
expm1-log1p-u fma-neg associate-*l* prod-diff associate-/r* log1p-expm1-u
cbrt-undiv flip3-- div-exp prod-exp flip-- cbrt-unprod div-inv associate-/l/ unswap-sqr
sub-neg frac-2neg diff-log div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
3 → 100
Calls
3 calls:
3.0ms
(- x (* y (/ (- z t) a)))
6.0ms
(/ (- z t) a)
9.0ms
(* y (/ (- z t) a))

series128.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(- x (* y (/ (- z t) a)))
27.0ms
(/ (- z t) a)
51.0ms
(* y (/ (- z t) a))

simplify46.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0366583
11473537
25001524

prune230.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes244.0ms

Accuracy

70.9% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.8b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02716
12716

end0.0ms

sample622.0ms

Algorithm
intervals
Results
303.0ms10742×body80valid