Details

Time bar (total: 2.9s)

sample23.0ms

Algorithm
intervals
Results
7.0ms319×body80valid

simplify46.0ms

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

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

3.2b
(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)

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(fma (/ y a) (- t z) x)

simplify37.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
04169
19462
227253
3130853
4500153

prune33.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ y a) (- t z)) x)
6.1b
(* (/ y a) (- t z))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity prod-diff
34×add-cube-cbrt
22×distribute-rgt-in associate-+l+ distribute-lft-in
13×associate-*l*
10×times-frac
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 sub-neg add-log-exp
2×expm1-log1p-u frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod log1p-expm1-u unswap-sqr
1×cbrt-undiv +-commutative fma-def flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 98
Calls
2 calls:
20.0ms
(+ (* (/ y a) (- t z)) x)
35.0ms
(* (/ y a) (- t z))

series107.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(+ (* (/ y a) (- t z)) x)
57.0ms
(* (/ y a) (- t z))

simplify45.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0476779
11775547
25001533

prune227.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ (* t (/ y a)) (* (/ y a) (- z))) x)
0.0b
(+ (* t (/ y a)) (* (/ y a) (- z)))
3.9b
(* (/ y a) (- z))
4.6b
(* t (/ y a))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
25×*-un-lft-identity
23×add-cube-cbrt associate-*r*
20×times-frac
16×associate-*l*
14×add-exp-log add-cbrt-cube
11×add-log-exp
8×pow1
5×distribute-rgt-neg-out
4×expm1-log1p-u fma-def prod-exp sum-log cbrt-unprod log1p-expm1-u unswap-sqr
3×distribute-lft-neg-in distribute-rgt-neg-in
2×cbrt-undiv +-commutative associate-+l- flip3-+ associate-*r/ div-exp unsub-neg pow-prod-down associate-*l/ *-commutative flip-+ div-inv
1×neg-mul-1 associate-+l+ frac-add distribute-lft-out
Counts
4 → 114
Calls
4 calls:
54.0ms
(+ (+ (* t (/ y a)) (* (/ y a) (- z))) x)
13.0ms
(+ (* t (/ y a)) (* (/ y a) (- z)))
22.0ms
(* (/ y a) (- z))
14.0ms
(* t (/ y a))

series143.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(+ (+ (* t (/ y a)) (* (/ y a) (- z))) x)
47.0ms
(+ (* t (/ y a)) (* (/ y a) (- z)))
23.0ms
(* (/ y a) (- z))
21.0ms
(* t (/ y a))

simplify61.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0521661
12564597
25002571

prune307.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

3.9b
(* (/ y a) (- z))
11.4b
(cbrt (/ y a))
11.4b
(cbrt (/ y a))
11.4b
(cbrt (/ y a))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
39×cbrt-prod
37×times-frac
35×add-cube-cbrt *-un-lft-identity
13×associate-*l*
10×associate-*r*
9×add-exp-log add-cbrt-cube
6×pow1
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×distribute-lft-neg-in cbrt-div distribute-rgt-neg-in pow1/3
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv neg-mul-1 div-exp pow-prod-down associate-*l/ *-commutative distribute-rgt-neg-out
Counts
4 → 114
Calls
4 calls:
20.0ms
(* (/ y a) (- z))
2.0ms
(cbrt (/ y a))
2.0ms
(cbrt (/ y a))
3.0ms
(cbrt (/ y a))

series223.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (/ y a) (- z))
63.0ms
(cbrt (/ y a))
68.0ms
(cbrt (/ y a))
68.0ms
(cbrt (/ y a))

simplify39.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0323642
11212591
25001584

prune411.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes183.0ms

Accuracy

62.6% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 2.5b

bsearch66.0ms

Steps
ItersRangePoint
7
2.1868607187317994e-76
1.5216661022516289e-74
8.531444755159096e-75
9
-5.2845402690409646e-33
-3.3784069532724994e-41
-3.890834236040981e-33

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0258
1258

end0.0ms

sample699.0ms

Algorithm
intervals
Results
262.0ms10665×body80valid