Details

Time bar (total: 16.5s)

sample84.0ms

Algorithm
intervals
Results
45.0ms606×body80valid

simplify118.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
04714
111013
233513
3105913
4344213
5500113

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* c z) (* t i))
3.9b
(fma (- (* c a) (* y i)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))))
6.3b
(* x (- (* y z) (* t a)))
8.2b
(* b (- (* c z) (* t i)))

rewrite31.0ms

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) (* t i))
0.0ms
(fma (- (* c a) (* y i)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))))
11.0ms
(* x (- (* y z) (* t a)))
14.0ms
(* b (- (* c z) (* t i)))

series897.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(- (* c z) (* t i))
681.0ms
(fma (- (* c a) (* y i)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))))
84.0ms
(* x (- (* y z) (* t a)))
80.0ms
(* b (- (* c z) (* t i)))

simplify64.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0376645
11499568
25001568

prune523.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 4.2b

localize29.0ms

Local error

Found 4 expressions with local error:

3.9b
(fma (- (* c a) (* y i)) j (- (* x (- (* y z) (* t a))) (+ (* b (- (* z c) (* t i))) (* b (fma (- i) t (* i t))))))
6.3b
(* x (- (* y z) (* t a)))
8.2b
(* b (- (* z c) (* t i)))
52.3b
(fma (- i) t (* i t))

rewrite25.0ms

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*
4×expm1-log1p-u sub-neg associate-*r/ prod-diff log1p-expm1-u add-log-exp
2×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod fma-udef unswap-sqr
Counts
4 → 76
Calls
4 calls:
0.0ms
(fma (- (* c a) (* y i)) j (- (* x (- (* y z) (* t a))) (+ (* b (- (* z c) (* t i))) (* b (fma (- i) t (* i t))))))
11.0ms
(* x (- (* y z) (* t a)))
11.0ms
(* b (- (* z c) (* t i)))
0.0ms
(fma (- i) t (* i t))

series4.0s

Counts
4 → 12
Calls
4 calls:
3.8s
(fma (- (* c a) (* y i)) j (- (* x (- (* y z) (* t a))) (+ (* b (- (* z c) (* t i))) (* b (fma (- i) t (* i t))))))
81.0ms
(* x (- (* y z) (* t a)))
86.0ms
(* b (- (* z c) (* t i)))
35.0ms
(fma (- i) t (* i t))

simplify55.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0365664
11478577
25001577

prune561.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 4.2b

localize34.0ms

Local error

Found 4 expressions with local error:

7.0b
(cbrt (- (* y z) (* t a)))
7.0b
(cbrt (- (* y z) (* t a)))
8.2b
(* b (- (* z c) (* t i)))
52.3b
(fma (- i) t (* i t))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×pow1 add-exp-log cbrt-prod add-cbrt-cube
4×expm1-log1p-u cbrt-div log1p-expm1-u add-log-exp
3×distribute-rgt-in flip3-- distribute-lft-in associate-*r* associate-*l* flip--
2×sub-neg pow1/3 associate-*r/ prod-diff
1×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
4 → 68
Calls
4 calls:
2.0ms
(cbrt (- (* y z) (* t a)))
2.0ms
(cbrt (- (* y z) (* t a)))
11.0ms
(* b (- (* z c) (* t i)))
0.0ms
(fma (- i) t (* i t))

series582.0ms

Counts
4 → 12
Calls
4 calls:
325.0ms
(cbrt (- (* y z) (* t a)))
145.0ms
(cbrt (- (* y z) (* t a)))
79.0ms
(* b (- (* z c) (* t i)))
33.0ms
(fma (- i) t (* i t))

simplify139.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0347542
11207496
24378484
35001484

prune596.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 4.2b

localize38.0ms

Local error

Found 4 expressions with local error:

3.9b
(fma (- (* c a) (* y i)) j (- (* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a)))) (+ (* b (- (* z c) (* t i))) (* b (fma (- i) t (* i t))))))
4.3b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
8.2b
(* b (- (* z c) (* t i)))
52.3b
(fma (- i) t (* i t))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log
15×distribute-rgt-in distribute-lft-in
12×add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
8×add-sqr-sqrt
6×add-cube-cbrt sub-neg *-un-lft-identity associate-*r/ prod-diff
4×expm1-log1p-u associate-*r* associate-*l* log1p-expm1-u add-log-exp
2×flip3-- *-commutative flip-- fma-udef
1×unswap-sqr
Counts
4 → 86
Calls
4 calls:
0.0ms
(fma (- (* c a) (* y i)) j (- (* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a)))) (+ (* b (- (* z c) (* t i))) (* b (fma (- i) t (* i t))))))
28.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
12.0ms
(* b (- (* z c) (* t i)))
0.0ms
(fma (- i) t (* i t))

series4.2s

Counts
4 → 12
Calls
4 calls:
3.9s
(fma (- (* c a) (* y i)) j (- (* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a)))) (+ (* b (- (* z c) (* t i))) (* b (fma (- i) t (* i t))))))
127.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
88.0ms
(* b (- (* z c) (* t i)))
30.0ms
(fma (- i) t (* i t))

simplify74.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
04961060
11891810
25001735

prune411.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 4.2b

regimes1.3s

Accuracy

0.8% (7.1b remaining)

Error of 12.1b against oracle of 5.0b and baseline of 12.2b

bsearch472.0ms

Steps
ItersRangePoint
7
6.518563697043588e+211
1.5689033763872109e+214
1.384030252318766e+213
7
5.6045341469051255e+107
7.2082757464133816e+109
2.242145015943666e+109
8
1.9160290705862376e+52
1.27822397183601e+55
1.2556142559561608e+55
7
-1.1698722756403335e+203
-5.404843891710703e+200
-1.8935955701985287e+201

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07896
17896

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.3s18995×body80valid