Details

Time bar (total: 6.7s)

sample83.0ms

Algorithm
intervals
Results
36.0ms608×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: 10.6b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* c t) (* i y))
3.8b
(* x (- (* y z) (* t a)))
4.2b
(* b (- (* c z) (* i a)))
5.8b
(* j (- (* c t) (* i y)))

rewrite91.0ms

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×sub-neg
6×distribute-rgt-in distribute-lft-in associate-*r/ add-log-exp
4×flip3-- flip--
3×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×diff-log
Counts
4 → 84
Calls
4 calls:
9.0ms
(- (* c t) (* i y))
26.0ms
(* x (- (* y z) (* t a)))
26.0ms
(* b (- (* c z) (* i a)))
28.0ms
(* j (- (* c t) (* i y)))

series219.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(- (* c t) (* i y))
62.0ms
(* x (- (* y z) (* t a)))
62.0ms
(* b (- (* c z) (* i a)))
61.0ms
(* j (- (* c t) (* i y)))

simplify52.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0424552
11770485
25001485

prune372.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 7.2b

localize24.0ms

Local error

Found 4 expressions with local error:

3.8b
(* x (- (* y z) (* t a)))
4.3b
(* b (* c z))
5.4b
(* b (- (* i a)))
5.8b
(* j (- (* c t) (* i y)))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×pow1 add-exp-log add-cbrt-cube
13×associate-*r*
12×associate-*l*
11×add-cube-cbrt *-un-lft-identity
6×pow-prod-down prod-exp cbrt-unprod
4×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ *-commutative add-log-exp
3×unswap-sqr
2×flip3-- flip--
1×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in distribute-rgt-neg-out
Counts
4 → 88
Calls
4 calls:
26.0ms
(* x (- (* y z) (* t a)))
18.0ms
(* b (* c z))
11.0ms
(* b (- (* i a)))
26.0ms
(* j (- (* c t) (* i y)))

series166.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* x (- (* y z) (* t a)))
21.0ms
(* b (* c z))
22.0ms
(* b (- (* i a)))
61.0ms
(* j (- (* c t) (* i y)))

simplify61.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0445484
12066419
25002419

prune433.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 5.6b

localize26.0ms

Local error

Found 4 expressions with local error:

5.4b
(* b (- (* i a)))
8.3b
(cbrt (- (* c t) (* i y)))
8.3b
(cbrt (- (* c t) (* i y)))
8.3b
(cbrt (- (* c t) (* i y)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×cbrt-prod add-cube-cbrt *-un-lft-identity
6×pow1 add-exp-log cbrt-div associate-*r* add-cbrt-cube
4×add-log-exp
3×flip3-- pow1/3 associate-*l* flip--
1×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in pow-prod-down prod-exp *-commutative distribute-rgt-neg-out cbrt-unprod unswap-sqr
Counts
4 → 61
Calls
4 calls:
14.0ms
(* b (- (* i a)))
6.0ms
(cbrt (- (* c t) (* i y)))
6.0ms
(cbrt (- (* c t) (* i y)))
6.0ms
(cbrt (- (* c t) (* i y)))

series347.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* b (- (* i a)))
108.0ms
(cbrt (- (* c t) (* i y)))
108.0ms
(cbrt (- (* c t) (* i y)))
109.0ms
(cbrt (- (* c t) (* i y)))

simplify42.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0275531
11022494
25001476

prune488.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 5.6b

localize25.0ms

Local error

Found 4 expressions with local error:

3.1b
(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
3.8b
(* x (- (* y z) (* t a)))
4.3b
(* b (* c z))
5.4b
(* b (- (* i a)))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
25×pow1 add-exp-log
19×add-cbrt-cube
13×add-sqr-sqrt pow-prod-down prod-exp cbrt-unprod
11×associate-*r*
10×distribute-rgt-in distribute-lft-in associate-*l*
9×add-cube-cbrt *-un-lft-identity
6×sub-neg associate-*r/
4×*-commutative add-log-exp
2×flip3-- flip-- unswap-sqr
1×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in distribute-rgt-neg-out
Counts
4 → 96
Calls
4 calls:
63.0ms
(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
26.0ms
(* x (- (* y z) (* t a)))
18.0ms
(* b (* c z))
12.0ms
(* b (- (* i a)))

series196.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
61.0ms
(* x (- (* y z) (* t a)))
22.0ms
(* b (* c z))
24.0ms
(* b (- (* i a)))

simplify67.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0543754
12365560
25002503

prune355.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 3.5b

regimes920.0ms

Accuracy

11% (6.2b remaining)

Error of 11.5b against oracle of 5.3b and baseline of 12.3b

bsearch64.0ms

Steps
ItersRangePoint
5
-178.08695034204703
-63.84067558173929
-158.5389857153966

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07034
18534
29634
39634

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.1s18743×body80valid