Details

Time bar (total: 8.4s)

sample74.0ms

Algorithm
intervals
Results
39.0ms595×body80valid

simplify79.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04314
19614
229114
382514
4202114
5500114

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.8b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i))))
4.5b
(* j (- (* c a) (* y i)))
6.0b
(* b (- (* c z) (* t i)))
6.1b
(* x (- (* y z) (* t a)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×associate-*r/
11×sub-neg
10×pow1 add-exp-log distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in add-cbrt-cube
9×associate-*r* associate-*l*
8×flip3-- flip--
6×add-log-exp
4×associate--l+ frac-sub associate--r+
3×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×diff-log
Counts
4 → 96
Calls
4 calls:
11.0ms
(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i))))
9.0ms
(* j (- (* c a) (* y i)))
9.0ms
(* b (- (* c z) (* t i)))
9.0ms
(* x (- (* y z) (* t a)))

series406.0ms

Counts
4 → 12
Calls
4 calls:
210.0ms
(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i))))
65.0ms
(* j (- (* c a) (* y i)))
66.0ms
(* b (- (* c z) (* t i)))
66.0ms
(* x (- (* y z) (* t a)))

simplify83.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0591891
12752825
25003825

prune447.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 4.5b

localize24.0ms

Local error

Found 4 expressions with local error:

3.1b
(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* t i))))
3.2b
(* (cbrt b) (- (* c z) (* t i)))
4.5b
(* j (- (* c a) (* y i)))
6.1b
(* x (- (* y z) (* t a)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
22×pow1 add-exp-log
19×add-sqr-sqrt
15×add-cbrt-cube
14×distribute-rgt-in distribute-lft-in
13×associate-*l*
11×add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
10×sub-neg associate-*r/ associate-*r*
4×cbrt-prod flip3-- *-commutative flip-- add-log-exp unswap-sqr
Counts
4 → 108
Calls
4 calls:
26.0ms
(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* t i))))
11.0ms
(* (cbrt b) (- (* c z) (* t i)))
9.0ms
(* j (- (* c a) (* y i)))
9.0ms
(* x (- (* y z) (* t a)))

series493.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* t i))))
265.0ms
(* (cbrt b) (- (* c z) (* t i)))
65.0ms
(* j (- (* c a) (* y i)))
64.0ms
(* x (- (* y z) (* t a)))

simplify84.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
0575966
12594762
25002699

prune493.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 4.5b

localize32.0ms

Local error

Found 4 expressions with local error:

2.5b
(* (cbrt (* (cbrt b) (cbrt b))) (* (cbrt (cbrt b)) (- (* c z) (* t i))))
3.1b
(* (* (cbrt b) (cbrt b)) (* (cbrt (* (cbrt b) (cbrt b))) (* (cbrt (cbrt b)) (- (* c z) (* t i)))))
4.5b
(* j (- (* c a) (* y i)))
6.1b
(* x (- (* y z) (* t a)))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
36×distribute-rgt-in distribute-lft-in
34×pow1 add-exp-log
20×pow-prod-down prod-exp cbrt-unprod
19×add-cbrt-cube
16×sub-neg
14×associate-*r/
13×add-sqr-sqrt
11×associate-*l*
9×add-cube-cbrt *-un-lft-identity
8×associate-*r*
4×flip3-- *-commutative flip-- add-log-exp
2×unswap-sqr
1×cbrt-prod
Counts
4 → 123
Calls
4 calls:
18.0ms
(* (cbrt (* (cbrt b) (cbrt b))) (* (cbrt (cbrt b)) (- (* c z) (* t i))))
58.0ms
(* (* (cbrt b) (cbrt b)) (* (cbrt (* (cbrt b) (cbrt b))) (* (cbrt (cbrt b)) (- (* c z) (* t i)))))
9.0ms
(* j (- (* c a) (* y i)))
9.0ms
(* x (- (* y z) (* t a)))

series497.0ms

Counts
4 → 12
Calls
4 calls:
273.0ms
(* (cbrt (* (cbrt b) (cbrt b))) (* (cbrt (cbrt b)) (- (* c z) (* t i))))
98.0ms
(* (* (cbrt b) (cbrt b)) (* (cbrt (* (cbrt b) (cbrt b))) (* (cbrt (cbrt b)) (- (* c z) (* t i)))))
62.0ms
(* j (- (* c a) (* y i)))
65.0ms
(* x (- (* y z) (* t a)))

simplify86.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
06861808
128801494
250021475

prune543.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 4.5b

localize30.0ms

Local error

Found 4 expressions with local error:

3.1b
(* (* (cbrt b) (cbrt b)) (* (* (cbrt (* (cbrt b) (cbrt b))) (cbrt (cbrt b))) (- (* c z) (* t i))))
3.2b
(* (* (cbrt (* (cbrt b) (cbrt b))) (cbrt (cbrt b))) (- (* c z) (* t i)))
4.5b
(* j (- (* c a) (* y i)))
6.1b
(* x (- (* y z) (* t a)))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
34×pow1 add-exp-log
22×add-cbrt-cube
20×pow-prod-down prod-exp cbrt-unprod
14×distribute-rgt-in distribute-lft-in
13×add-sqr-sqrt
10×sub-neg associate-*r/ associate-*r*
9×add-cube-cbrt *-un-lft-identity
8×associate-*l*
4×flip3-- *-commutative flip-- add-log-exp
2×unswap-sqr
Counts
4 → 110
Calls
4 calls:
66.0ms
(* (* (cbrt b) (cbrt b)) (* (* (cbrt (* (cbrt b) (cbrt b))) (cbrt (cbrt b))) (- (* c z) (* t i))))
18.0ms
(* (* (cbrt (* (cbrt b) (cbrt b))) (cbrt (cbrt b))) (- (* c z) (* t i)))
9.0ms
(* j (- (* c a) (* y i)))
9.0ms
(* x (- (* y z) (* t a)))

series495.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(* (* (cbrt b) (cbrt b)) (* (* (cbrt (* (cbrt b) (cbrt b))) (cbrt (cbrt b))) (- (* c z) (* t i))))
265.0ms
(* (* (cbrt (* (cbrt b) (cbrt b))) (cbrt (cbrt b))) (- (* c z) (* t i)))
63.0ms
(* j (- (* c a) (* y i)))
65.0ms
(* x (- (* y z) (* t a)))

simplify88.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
06441543
130761230
250011209

prune440.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 4.5b

regimes1.3s

Accuracy

16.4% (6.8b remaining)

Error of 11.6b against oracle of 4.7b and baseline of 12.9b

bsearch171.0ms

Steps
ItersRangePoint
3
2.653465822228568e-162
3.635204067846e-162
2.837541743281836e-162
10
-1.9789810449412024e-28
-3.4251278494429124e-46
-5.870291246366873e-46

simplify7.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07374
17374

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.2s19233×body80valid