Details

Time bar (total: 2.5s)

sample24.0ms

Algorithm
intervals
Results
11.0ms331×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

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

0.7b
(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)

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(fma (/ y a) (- t z) x)

simplify43.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
04169
19462
227253
3130853
4500153

prune40.0ms

Filtered
13 candidates to 10 candidates (76.9%)
Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ y a) (- t z)) x)
4.9b
(* (/ y a) (- t z))

rewrite33.0ms

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:
12.0ms
(+ (* (/ y a) (- t z)) x)
16.0ms
(* (/ y a) (- t z))

series101.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(+ (* (/ y a) (- t z)) x)
52.0ms
(* (/ y a) (- t z))

simplify52.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0476779
11775547
25001533

prune244.0ms

Filtered
104 candidates to 71 candidates (68.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ y a) t) (fma (- z) (/ y a) x))
0.3b
(fma (- z) (/ y a) x)
3.4b
(* (/ y a) t)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*l*
11×add-cube-cbrt *-un-lft-identity
10×times-frac
8×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
3×expm1-log1p-u associate-*r* log1p-expm1-u
2×prod-exp cbrt-unprod fma-udef unswap-sqr
1×cbrt-undiv +-commutative associate-+r+ fma-def flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv
Counts
3 → 59
Calls
3 calls:
4.0ms
(+ (* (/ y a) t) (fma (- z) (/ y a) x))
0.0ms
(fma (- z) (/ y a) x)
7.0ms
(* (/ y a) t)

series108.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(+ (* (/ y a) t) (fma (- z) (/ y a) x))
39.0ms
(fma (- z) (/ y a) x)
20.0ms
(* (/ y a) t)

simplify103.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (98.0ms)

IterNodesCost
0258337
1936308
24436298
35001294

prune180.0ms

Filtered
68 candidates to 52 candidates (76.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* (cbrt (/ y a)) (cbrt (/ y a))) (* (cbrt (/ y a)) t))
12.2b
(cbrt (/ y a))
12.2b
(cbrt (/ y a))
12.2b
(cbrt (/ y a))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
27×times-frac
25×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×pow1 add-exp-log
15×cbrt-div
10×add-cbrt-cube
9×associate-*l/
8×pow-prod-down prod-exp cbrt-unprod
5×frac-times
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r/ div-inv
1×associate-*r* associate-*l* *-commutative
Counts
4 → 103
Calls
4 calls:
31.0ms
(* (* (cbrt (/ y a)) (cbrt (/ y a))) (* (cbrt (/ y a)) t))
1.0ms
(cbrt (/ y a))
1.0ms
(cbrt (/ y a))
2.0ms
(cbrt (/ y a))

series210.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* (* (cbrt (/ y a)) (cbrt (/ y a))) (* (cbrt (/ y a)) t))
64.0ms
(cbrt (/ y a))
64.0ms
(cbrt (/ y a))
60.0ms
(cbrt (/ y a))

simplify73.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 3 (64.0ms)

IterNodesCost
0270794
1821672
23036622
35001583

prune324.0ms

Filtered
115 candidates to 81 candidates (70.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes151.0ms

Accuracy

0% (2.5b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 2.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0126
1126

end0.0ms

sample598.0ms

Algorithm
intervals
Results
295.0ms10704×body80valid