Details

Time bar (total: 11.6s)

sample85.0ms

Algorithm
intervals
Results
44.0ms647×body80valid

simplify93.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
04714
111013
233513
3105913
4344213
5500113

prune9.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.7b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* c z) (* i a))
3.6b
(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))
4.8b
(* b (- (* c z) (* i a)))
5.9b
(* x (- (* y z) (* t a)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×distribute-rgt-in distribute-lft-in associate-*r* associate-*l* add-log-exp
5×sub-neg prod-diff
4×expm1-log1p-u associate-*r/ log1p-expm1-u
3×flip3-- flip--
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×fma-neg diff-log fma-udef
Counts
4 → 82
Calls
4 calls:
3.0ms
(- (* c z) (* i a))
0.0ms
(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))
12.0ms
(* b (- (* c z) (* i a)))
10.0ms
(* x (- (* y z) (* t a)))

series794.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(- (* c z) (* i a))
602.0ms
(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))
78.0ms
(* b (- (* c z) (* i a)))
72.0ms
(* x (- (* y z) (* t a)))

simplify61.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0373645
11485568
25001568

prune430.0ms

Filtered
94 candidates to 73 candidates (77.7%)
Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.3b

localize28.0ms

Local error

Found 4 expressions with local error:

3.6b
(fma (- (* c t) (* i y)) j (- (+ (* x (fma y z (- (* a t)))) (* x (fma (- a) t (* a t)))) (* b (- (* c z) (* i a)))))
4.8b
(* b (- (* c z) (* i a)))
5.9b
(* x (fma y z (- (* a t))))
48.7b
(fma (- a) t (* a t))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×associate-*r* associate-*l*
4×distribute-rgt-in expm1-log1p-u distribute-lft-in fma-udef log1p-expm1-u add-log-exp
2×sub-neg associate-*r/ prod-diff pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×flip3-- flip--
Counts
4 → 70
Calls
4 calls:
0.0ms
(fma (- (* c t) (* i y)) j (- (+ (* x (fma y z (- (* a t)))) (* x (fma (- a) t (* a t)))) (* b (- (* c z) (* i a)))))
10.0ms
(* b (- (* c z) (* i a)))
3.0ms
(* x (fma y z (- (* a t))))
0.0ms
(fma (- a) t (* a t))

series3.6s

Counts
4 → 12
Calls
4 calls:
3.5s
(fma (- (* c t) (* i y)) j (- (+ (* x (fma y z (- (* a t)))) (* x (fma (- a) t (* a t)))) (* b (- (* c z) (* i a)))))
74.0ms
(* b (- (* c z) (* i a)))
82.0ms
(* x (fma y z (- (* a t))))
27.0ms
(fma (- a) t (* a t))

simplify46.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0315624
11247538
25002538

prune431.0ms

Filtered
82 candidates to 58 candidates (70.7%)
Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.3b

localize41.0ms

Local error

Found 4 expressions with local error:

5.9b
(* x (fma y z (- (* a t))))
48.7b
(fma (- a) t (* a t))
48.7b
(fma (- a) t (* a t))
48.7b
(fma (- a) t (* a t))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
5×fma-udef
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*r* associate-*l*
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 52
Calls
4 calls:
3.0ms
(* x (fma y z (- (* a t))))
0.0ms
(fma (- a) t (* a t))
0.0ms
(fma (- a) t (* a t))
0.0ms
(fma (- a) t (* a t))

series165.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(* x (fma y z (- (* a t))))
34.0ms
(fma (- a) t (* a t))
28.0ms
(fma (- a) t (* a t))
30.0ms
(fma (- a) t (* a t))

simplify55.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (50.0ms)

IterNodesCost
0114294
1441253
21771253
35002229

prune507.0ms

Filtered
64 candidates to 50 candidates (78.1%)
Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 4.3b

localize48.0ms

Local error

Found 4 expressions with local error:

3.6b
(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (/ (* (* (fma c z (* i a)) (- (* c z) (* i a))) b) (+ (* c z) (* i a)))))
5.9b
(* x (- (* y z) (* t a)))
6.9b
(* (* (fma c z (* i a)) (- (* c z) (* i a))) b)
20.5b
(/ (* (* (fma c z (* i a)) (- (* c z) (* i a))) b) (+ (* c z) (* i a)))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
11×pow1 add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity
7×prod-exp cbrt-unprod
6×associate-*r/ associate-*r*
4×expm1-log1p-u associate-*l* pow-prod-down associate-*l/ log1p-expm1-u add-log-exp
3×cbrt-undiv distribute-rgt-in flip3-- distribute-lft-in times-frac div-exp associate-/r* flip--
2×sub-neg prod-diff associate-/r/ *-commutative associate-/l/
1×frac-2neg flip3-+ clear-num flip-+ fma-udef div-inv associate-/l* unswap-sqr
Counts
4 → 89
Calls
4 calls:
0.0ms
(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (/ (* (* (fma c z (* i a)) (- (* c z) (* i a))) b) (+ (* c z) (* i a)))))
15.0ms
(* x (- (* y z) (* t a)))
28.0ms
(* (* (fma c z (* i a)) (- (* c z) (* i a))) b)
36.0ms
(/ (* (* (fma c z (* i a)) (- (* c z) (* i a))) b) (+ (* c z) (* i a)))

series1.2s

Counts
4 → 12
Calls
4 calls:
820.0ms
(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (/ (* (* (fma c z (* i a)) (- (* c z) (* i a))) b) (+ (* c z) (* i a)))))
74.0ms
(* x (- (* y z) (* t a)))
154.0ms
(* (* (fma c z (* i a)) (- (* c z) (* i a))) b)
118.0ms
(/ (* (* (fma c z (* i a)) (- (* c z) (* i a))) b) (+ (* c z) (* i a)))

simplify92.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
05361138
12812938
25001933

prune449.0ms

Filtered
101 candidates to 73 candidates (72.3%)
Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 4.3b

regimes798.0ms

Accuracy

6.5% (6.8b remaining)

Error of 11.8b against oracle of 5.0b and baseline of 12.3b

bsearch330.0ms

Steps
ItersRangePoint
10
1.0059186740209868e+198
6.124964579134917e+215
2.522812304659302e+204
10
-1.0574656244958566e+195
-1.658401792207033e+181
-8.092094863131477e+182

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06266
16466
26466

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.2s18975×body80valid