Details

Time bar (total: 8.1s)

sample82.0ms

Algorithm
intervals
Results
37.0ms602×body80valid

simplify92.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
04714
111013
233513
3105913
4344213
5500113

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* c t) (* i y))
4.2b
(* x (- (* y z) (* t a)))
5.2b
(* j (- (* c t) (* i y)))
6.2b
(* b (- (* c z) (* i a)))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
10×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×distribute-rgt-in distribute-lft-in associate-*r* associate-*l*
7×sub-neg prod-diff
6×associate-*r/ add-log-exp
4×expm1-log1p-u flip3-- flip-- log1p-expm1-u
3×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×fma-neg diff-log
Counts
4 → 100
Calls
4 calls:
8.0ms
(- (* c t) (* i y))
27.0ms
(* x (- (* y z) (* t a)))
28.0ms
(* j (- (* c t) (* i y)))
27.0ms
(* b (- (* c z) (* i a)))

series259.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(- (* c t) (* i y))
70.0ms
(* x (- (* y z) (* t a)))
74.0ms
(* j (- (* c t) (* i y)))
72.0ms
(* b (- (* c z) (* i a)))

simplify58.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0478643
11975572
25002572

prune539.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 8.0b

localize27.0ms

Local error

Found 4 expressions with local error:

4.2b
(* x (fma y z (- (* a t))))
5.2b
(* j (- (* c t) (* i y)))
6.2b
(* b (- (* c z) (* i a)))
49.1b
(fma (- a) t (* a t))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
10×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×associate-*r* associate-*l*
7×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u sub-neg associate-*r/ prod-diff log1p-expm1-u add-log-exp
3×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
2×flip3-- flip--
Counts
4 → 88
Calls
4 calls:
7.0ms
(* x (fma y z (- (* a t))))
27.0ms
(* j (- (* c t) (* i y)))
30.0ms
(* b (- (* c z) (* i a)))
0.0ms
(fma (- a) t (* a t))

series242.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(* x (fma y z (- (* a t))))
70.0ms
(* j (- (* c t) (* i y)))
68.0ms
(* b (- (* c z) (* i a)))
30.0ms
(fma (- a) t (* a t))

simplify53.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0412562
11685493
25001493

prune558.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 8.0b

localize31.0ms

Local error

Found 4 expressions with local error:

7.3b
(cbrt (- (* c z) (* i a)))
7.3b
(cbrt (- (* c z) (* i a)))
7.3b
(cbrt (- (* c z) (* i a)))
49.1b
(fma (- a) t (* a t))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-div
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×flip3-- pow1/3 flip--
1×fma-udef
Counts
4 → 55
Calls
4 calls:
6.0ms
(cbrt (- (* c z) (* i a)))
6.0ms
(cbrt (- (* c z) (* i a)))
6.0ms
(cbrt (- (* c z) (* i a)))
0.0ms
(fma (- a) t (* a t))

series420.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(cbrt (- (* c z) (* i a)))
130.0ms
(cbrt (- (* c z) (* i a)))
130.0ms
(cbrt (- (* c z) (* i a)))
31.0ms
(fma (- a) t (* a t))

simplify145.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 3 (52.0ms)

IterNodesCost
0209512
1580478
21833460
34890452
45001452

prune575.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 8.0b

localize32.0ms

Local error

Found 4 expressions with local error:

4.8b
(cbrt (* x (fma y z (- (* a t)))))
5.2b
(* j (- (* c t) (* i y)))
6.2b
(* b (- (* c z) (* i a)))
49.1b
(fma (- a) t (* a t))

rewrite62.0ms

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 unswap-sqr
1×cbrt-prod pow1/3 fma-udef
Counts
4 → 77
Calls
4 calls:
3.0ms
(cbrt (* x (fma y z (- (* a t)))))
27.0ms
(* j (- (* c t) (* i y)))
29.0ms
(* b (- (* c z) (* i a)))
0.0ms
(fma (- a) t (* a t))

series332.0ms

Counts
4 → 12
Calls
4 calls:
158.0ms
(cbrt (* x (fma y z (- (* a t)))))
74.0ms
(* j (- (* c t) (* i y)))
69.0ms
(* b (- (* c z) (* i a)))
31.0ms
(fma (- a) t (* a t))

simplify57.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0432526
11600466
25001463

prune489.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 8.0b

regimes1.4s

Accuracy

-6.3% (4.0b remaining)

Error of 13.1b against oracle of 9.1b and baseline of 12.9b

bsearch156.0ms

Steps
ItersRangePoint
4
-1.0041569796010046e-290
-5.1334664012874516e-291
-5.6169020064018164e-291
7
-2.168754582780419e-139
-4.343009027502546e-141
-4.4007851686556796e-141

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06448
16648
26648

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.1s18792×body80valid