Details

Time bar (total: 2.7s)

sample24.0ms

Algorithm
intervals
Results
9.0ms366×body80valid

simplify45.0ms

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

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

1.5b
(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)

simplify38.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
04169
19462
227253
3130853
4500153

prune39.0ms

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)
5.5b
(* (/ y a) (- t z))

rewrite30.0ms

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:
10.0ms
(+ (* (/ y a) (- t z)) x)
16.0ms
(* (/ y a) (- t z))

series102.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(+ (* (/ y a) (- t z)) x)
56.0ms
(* (/ y a) (- t z))

simplify52.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0476779
11775547
25001533

prune254.0ms

Filtered
104 candidates to 71 candidates (68.3%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ y a) t) (fma (- z) (/ y a) x))
1.5b
(fma (- z) (/ y a) x)
4.1b
(* (/ y a) t)

rewrite17.0ms

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)
11.0ms
(* (/ y a) t)

series114.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(+ (* (/ y a) t) (fma (- z) (/ y a) x))
38.0ms
(fma (- z) (/ y a) x)
21.0ms
(* (/ y a) t)

simplify101.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (97.0ms)

IterNodesCost
0258337
1936308
24436298
35001294

prune185.0ms

Filtered
68 candidates to 52 candidates (76.5%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

5.5b
(* (/ y a) (- t z))
9.9b
(cbrt (* (/ y a) (- t z)))
9.9b
(cbrt (* (/ y a) (- t z)))
9.9b
(cbrt (* (/ y a) (- t z)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
26×*-un-lft-identity
24×add-cube-cbrt
18×prod-diff
15×cbrt-div
13×associate-*l*
11×distribute-rgt-in distribute-lft-in
10×times-frac
9×add-exp-log add-cbrt-cube
8×frac-times flip3-- associate-*r/ flip--
6×pow1
5×associate-*r*
4×expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3
2×sub-neg prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down *-commutative div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 110
Calls
4 calls:
16.0ms
(* (/ y a) (- t z))
5.0ms
(cbrt (* (/ y a) (- t z)))
5.0ms
(cbrt (* (/ y a) (- t z)))
5.0ms
(cbrt (* (/ y a) (- t z)))

series433.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(* (/ y a) (- t z))
124.0ms
(cbrt (* (/ y a) (- t z)))
127.0ms
(cbrt (* (/ y a) (- t z)))
125.0ms
(cbrt (* (/ y a) (- t z)))

simplify48.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0464940
11723759
25001741

prune389.0ms

Filtered
122 candidates to 94 candidates (77.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes127.0ms

Accuracy

0% (2.7b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0126
1126

end0.0ms

sample617.0ms

Algorithm
intervals
Results
289.0ms10721×body80valid