Details

Time bar (total: 11.1s)

sample81.0ms

Algorithm
intervals
Results
36.0ms603×body80valid

simplify95.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
04714
111013
233513
3105913
4344213
5500113

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.5b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* y z) (* t a))
5.3b
(fma (- (* c a) (* y i)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))))
6.1b
(* b (- (* c z) (* t i)))
6.7b
(* x (- (* y z) (* t a)))

rewrite65.0ms

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:
11.0ms
(- (* y z) (* t a))
0.0ms
(fma (- (* c a) (* y i)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))))
25.0ms
(* b (- (* c z) (* t i)))
26.0ms
(* x (- (* y z) (* t a)))

series683.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(- (* y z) (* t a))
517.0ms
(fma (- (* c a) (* y i)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))))
64.0ms
(* b (- (* c z) (* t i)))
61.0ms
(* x (- (* y z) (* t a)))

simplify52.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0376645
11500568
25001568

prune432.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 6.0b

localize25.0ms

Local error

Found 4 expressions with local error:

5.3b
(fma (- (* c a) (* y i)) j (- (* x (- (* y z) (* t a))) (+ (* b (- (* c z) (* t i))) (* b (fma (- i) t (* i t))))))
6.1b
(* b (- (* c z) (* t i)))
6.7b
(* x (- (* y z) (* t a)))
49.4b
(fma (- i) t (* i t))

rewrite56.0ms

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 (- (* c z) (* t i))) (* b (fma (- i) t (* i t))))))
27.0ms
(* b (- (* c z) (* t i)))
26.0ms
(* x (- (* y z) (* t a)))
0.0ms
(fma (- i) t (* i t))

series3.1s

Counts
4 → 12
Calls
4 calls:
3.0s
(fma (- (* c a) (* y i)) j (- (* x (- (* y z) (* t a))) (+ (* b (- (* c z) (* t i))) (* b (fma (- i) t (* i t))))))
60.0ms
(* b (- (* c z) (* t i)))
63.0ms
(* x (- (* y z) (* t a)))
22.0ms
(fma (- i) t (* i t))

simplify55.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0363664
11472577
25001577

prune451.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 6.0b

localize26.0ms

Local error

Found 4 expressions with local error:

6.7b
(* x (* (* (cbrt (- (* y z) (* t a))) (cbrt (- (* y z) (* t a)))) (cbrt (- (* y z) (* t a)))))
7.5b
(cbrt (- (* y z) (* t a)))
7.5b
(cbrt (- (* y z) (* t a)))
7.5b
(cbrt (- (* y z) (* t a)))

rewrite260.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
34×associate-*r/
30×flip3-- flip--
28×frac-times
14×associate-*l/
13×pow1 add-exp-log
9×cbrt-prod add-cbrt-cube
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*l*
1×associate-*r* *-commutative
Counts
4 → 94
Calls
4 calls:
239.0ms
(* x (* (* (cbrt (- (* y z) (* t a))) (cbrt (- (* y z) (* t a)))) (cbrt (- (* y z) (* t a)))))
5.0ms
(cbrt (- (* y z) (* t a)))
5.0ms
(cbrt (- (* y z) (* t a)))
6.0ms
(cbrt (- (* y z) (* t a)))

series392.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* x (* (* (cbrt (- (* y z) (* t a))) (cbrt (- (* y z) (* t a)))) (cbrt (- (* y z) (* t a)))))
112.0ms
(cbrt (- (* y z) (* t a)))
108.0ms
(cbrt (- (* y z) (* t a)))
112.0ms
(cbrt (- (* y z) (* t a)))

simplify103.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 3 (90.0ms)

IterNodesCost
04471455
112021325
239741156
350011137

prune589.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 6.0b

localize35.0ms

Local error

Found 4 expressions with local error:

8.0b
(cbrt (- (* c z) (* t i)))
8.0b
(cbrt (- (* c z) (* t i)))
8.0b
(cbrt (- (* c z) (* t i)))
49.4b
(fma (- i) t (* i t))

rewrite18.0ms

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:
5.0ms
(cbrt (- (* c z) (* t i)))
6.0ms
(cbrt (- (* c z) (* t i)))
6.0ms
(cbrt (- (* c z) (* t i)))
0.0ms
(fma (- i) t (* i t))

series355.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(cbrt (- (* c z) (* t i)))
109.0ms
(cbrt (- (* c z) (* t i)))
112.0ms
(cbrt (- (* c z) (* t i)))
22.0ms
(fma (- i) t (* i t))

simplify144.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 3 (52.0ms)

IterNodesCost
0207512
1603478
21831460
34836452
45001452

prune445.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 6.0b

regimes1.0s

Accuracy

11.3% (6.5b remaining)

Error of 11.6b against oracle of 5.1b and baseline of 12.4b

bsearch271.0ms

Steps
ItersRangePoint
9
6.094358913454967e+233
2.971505257071704e+239
3.8428578075283745e+234
9
-3.983881738959778e+183
-3.251065003094728e+176
-1.3314235853011483e+181

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05431
15431

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.1s19003×body80valid