Details

Time bar (total: 12.3s)

sample90.0ms

Algorithm
intervals
Results
48.0ms622×body80valid

simplify90.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
04714
111013
233513
3105913
4344213
5500113

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.3b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a))))
3.1b
(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))
3.8b
(* b (- (* c z) (* i a)))
4.7b
(* x (- (* y z) (* t a)))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
12×distribute-rgt-in add-sqr-sqrt distribute-lft-in associate-*r/
9×sub-neg prod-diff
8×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
7×flip3-- flip--
6×associate-*r* associate-*l* associate--l+ associate--r+ add-log-exp
4×expm1-log1p-u frac-sub log1p-expm1-u
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×fma-neg diff-log fma-udef
Counts
4 → 98
Calls
4 calls:
36.0ms
(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a))))
0.0ms
(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))
28.0ms
(* b (- (* c z) (* i a)))
26.0ms
(* x (- (* y z) (* t a)))

series863.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a))))
534.0ms
(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))
62.0ms
(* b (- (* c z) (* i a)))
63.0ms
(* x (- (* y z) (* t a)))

simplify87.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
05671034
12610947
25001943

prune1.1s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.8b

localize25.0ms

Local error

Found 4 expressions with local error:

1.3b
(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
2.7b
(* (cbrt b) (- (* c z) (* i a)))
3.1b
(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))))
4.7b
(* x (- (* y z) (* t a)))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1 add-exp-log
18×distribute-rgt-in distribute-lft-in
15×add-sqr-sqrt
13×add-cbrt-cube
10×associate-*l* pow-prod-down prod-exp cbrt-unprod
9×add-cube-cbrt *-un-lft-identity
8×sub-neg associate-*r/ prod-diff
7×associate-*r*
4×cbrt-prod expm1-log1p-u log1p-expm1-u add-log-exp
3×flip3-- *-commutative flip-- unswap-sqr
1×fma-udef
Counts
4 → 108
Calls
4 calls:
65.0ms
(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
31.0ms
(* (cbrt b) (- (* c z) (* i a)))
0.0ms
(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))))
26.0ms
(* x (- (* y z) (* t a)))

series1.2s

Counts
4 → 12
Calls
4 calls:
106.0ms
(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
293.0ms
(* (cbrt b) (- (* c z) (* i a)))
684.0ms
(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))))
71.0ms
(* x (- (* y z) (* t a)))

simplify86.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
05591204
12479956
25003877

prune1.3s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.8b

localize23.0ms

Local error

Found 4 expressions with local error:

3.1b
(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (+ (* z (* b c)) (- (* a (* i b))))))
4.2b
(* z (* b c))
4.7b
(* x (- (* y z) (* t a)))
5.1b
(* a (* i b))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log add-cbrt-cube
10×add-sqr-sqrt
9×associate-*l*
8×add-cube-cbrt *-un-lft-identity
7×pow-prod-down prod-exp cbrt-unprod
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×distribute-rgt-in distribute-lft-in *-commutative
2×sub-neg associate-*r/ prod-diff
1×flip3-- flip-- fma-udef unswap-sqr
Counts
4 → 78
Calls
4 calls:
0.0ms
(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (+ (* z (* b c)) (- (* a (* i b))))))
15.0ms
(* z (* b c))
28.0ms
(* x (- (* y z) (* t a)))
16.0ms
(* a (* i b))

series696.0ms

Counts
4 → 12
Calls
4 calls:
577.0ms
(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (+ (* z (* b c)) (- (* a (* i b))))))
26.0ms
(* z (* b c))
68.0ms
(* x (- (* y z) (* t a)))
25.0ms
(* a (* i b))

simplify49.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0374544
11413461
25002461

prune801.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 3.8b

localize31.0ms

Local error

Found 4 expressions with local error:

5.1b
(* a (* i b))
19.4b
(cbrt (* a (* i b)))
19.4b
(cbrt (* a (* i b)))
19.4b
(cbrt (* a (* i b)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
1×associate-*r* *-commutative
Counts
4 → 53
Calls
4 calls:
15.0ms
(* a (* i b))
10.0ms
(cbrt (* a (* i b)))
10.0ms
(cbrt (* a (* i b)))
10.0ms
(cbrt (* a (* i b)))

series312.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* a (* i b))
96.0ms
(cbrt (* a (* i b)))
95.0ms
(cbrt (* a (* i b)))
95.0ms
(cbrt (* a (* i b)))

simplify59.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 3 (55.0ms)

IterNodesCost
0174315
1565267
22059255
35001233

prune737.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 3.8b

regimes1.7s

Accuracy

13% (7.1b remaining)

Error of 12.3b against oracle of 5.2b and baseline of 13.3b

bsearch386.0ms

Steps
ItersRangePoint
10
9.995074043841615e-17
27.11633941376143
3.6371249718995715e-16
10
-1.4511446942523606e-209
-7.285889092441044e-220
-8.975473291609244e-210

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06842
17642
27642

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.5s18998×body80valid