Details

Time bar (total: 3.5s)

sample35.0ms

Algorithm
intervals
Results
21.0ms340×body80valid

simplify49.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 7 (22.0ms)

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: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

1.1b
(fma (/ y a) (- t z) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×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:
0.0ms
(fma (/ y a) (- t z) x)

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(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

prune35.0ms

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
(- x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
6.2b
(/ (* y (- z t)) a)

rewrite35.0ms

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
5×pow1 associate-*r* add-log-exp
4×associate-*r/ div-inv
3×expm1-log1p-u sub-neg flip3-- fma-neg associate-*l* associate-/r* flip-- log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares
1×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))
13.0ms
(* y (- z t))
12.0ms
(/ (* y (- z t)) a)

series132.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(- x (/ (* y (- z t)) a))
34.0ms
(* y (- z t))
49.0ms
(/ (* y (- z t)) a)

simplify75.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
05051133
12195751
25001747

prune198.0ms

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
(/ (- z t) a)
7.1b
(* y (/ (- z t) a))

rewrite31.0ms

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
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
3×expm1-log1p-u fma-neg associate-*l* prod-diff associate-/r* log1p-expm1-u
2×cbrt-undiv flip3-- div-exp prod-exp flip-- cbrt-unprod div-inv associate-/l/ unswap-sqr
1×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)))
9.0ms
(/ (- z t) a)
16.0ms
(* y (/ (- z t) a))

series128.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(- x (* y (/ (- z t) a)))
26.0ms
(/ (- z t) a)
51.0ms
(* y (/ (- z t) a))

simplify44.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0366583
11473537
25001524

prune245.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
1.6b
(* y (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt a) (cbrt a))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
18×add-sqr-sqrt
15×cbrt-prod *-un-lft-identity
14×add-cbrt-cube
9×add-cube-cbrt prod-exp cbrt-unprod
6×pow1 cbrt-div
5×associate-*r*
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×flip3-- pow1/3 associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×times-frac unswap-sqr
1×associate-*r/ pow-prod-down *-commutative div-inv
Counts
4 → 83
Calls
4 calls:
2.0ms
(cbrt (- z t))
2.0ms
(cbrt (- z t))
2.0ms
(cbrt (- z t))
32.0ms
(* y (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt a) (cbrt a))))

series642.0ms

Counts
4 → 12
Calls
4 calls:
156.0ms
(cbrt (- z t))
150.0ms
(cbrt (- z t))
154.0ms
(cbrt (- z t))
181.0ms
(* y (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt a) (cbrt a))))

simplify53.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0445801
11719695
25002652

prune352.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes303.0ms

Accuracy

0% (2.5b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 2.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083

end0.0ms

sample1.0s

Algorithm
intervals
Results
668.0ms10644×body80valid