Details

Time bar (total: 8.2s)

sample81.0ms

Algorithm
intervals
Results
38.0ms599×body80valid

simplify81.0ms

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: 11.6b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* c t) (* i y))
4.7b
(* j (- (* c t) (* i y)))
5.3b
(* b (- (* c z) (* i a)))
5.4b
(* x (- (* y z) (* t a)))

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
(* j (- (* c t) (* i y)))
26.0ms
(* b (- (* c z) (* i a)))
28.0ms
(* x (- (* y z) (* t a)))

series248.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(- (* c t) (* i y))
71.0ms
(* j (- (* c t) (* i y)))
70.0ms
(* b (- (* c z) (* i a)))
68.0ms
(* x (- (* y z) (* t a)))

simplify51.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0424552
11770485
25001485

prune386.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 9.6b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt associate-*r/
6×pow1 add-exp-log add-cube-cbrt cbrt-div *-un-lft-identity add-cbrt-cube
4×flip3-- flip-- add-log-exp
3×cbrt-prod pow1/3 associate-*r* associate-*l*
2×distribute-rgt-in sub-neg distribute-lft-in
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 57
Calls
4 calls:
30.0ms
(* x (- (* y z) (* t a)))
10.0ms
(cbrt (* j (- (* c t) (* i y))))
10.0ms
(cbrt (* j (- (* c t) (* i y))))
11.0ms
(cbrt (* j (- (* c t) (* i y))))

series504.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(* x (- (* y z) (* t a)))
144.0ms
(cbrt (* j (- (* c t) (* i y))))
146.0ms
(cbrt (* j (- (* c t) (* i y))))
141.0ms
(cbrt (* j (- (* c t) (* i y))))

simplify104.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (99.0ms)

IterNodesCost
0314542
11109489
24150480
35001477

prune433.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 9.6b

localize33.0ms

Local error

Found 4 expressions with local error:

5.4b
(* x (- (* y z) (* t a)))
5.8b
(cbrt (* j (- (* c t) (* i y))))
5.8b
(cbrt (* j (- (* c t) (* i y))))
6.5b
(cbrt (- (* c t) (* i y)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×pow1 add-exp-log cbrt-div associate-*r/ add-cbrt-cube
5×cbrt-prod
4×flip3-- flip-- add-log-exp
3×pow1/3 associate-*r* associate-*l*
2×distribute-rgt-in sub-neg distribute-lft-in
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 59
Calls
4 calls:
30.0ms
(* x (- (* y z) (* t a)))
10.0ms
(cbrt (* j (- (* c t) (* i y))))
10.0ms
(cbrt (* j (- (* c t) (* i y))))
6.0ms
(cbrt (- (* c t) (* i y)))

series487.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(* x (- (* y z) (* t a)))
147.0ms
(cbrt (* j (- (* c t) (* i y))))
144.0ms
(cbrt (* j (- (* c t) (* i y))))
122.0ms
(cbrt (- (* c t) (* i y)))

simplify118.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (111.0ms)

IterNodesCost
0392558
11295507
24702495
35002493

prune507.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 9.6b

localize33.0ms

Local error

Found 4 expressions with local error:

5.4b
(* x (- (* y z) (* t a)))
5.8b
(cbrt (* j (- (* c t) (* i y))))
6.5b
(cbrt (- (* c t) (* i y)))
6.5b
(cbrt (- (* c t) (* i y)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×pow1 add-exp-log cbrt-div add-cbrt-cube
4×flip3-- associate-*r/ flip-- add-log-exp
3×pow1/3 associate-*r* associate-*l*
2×distribute-rgt-in sub-neg distribute-lft-in
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 61
Calls
4 calls:
26.0ms
(* x (- (* y z) (* t a)))
11.0ms
(cbrt (* j (- (* c t) (* i y))))
6.0ms
(cbrt (- (* c t) (* i y)))
6.0ms
(cbrt (- (* c t) (* i y)))

series463.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(* x (- (* y z) (* t a)))
142.0ms
(cbrt (* j (- (* c t) (* i y))))
122.0ms
(cbrt (- (* c t) (* i y)))
128.0ms
(cbrt (- (* c t) (* i y)))

simplify113.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 3 (107.0ms)

IterNodesCost
0392574
11295525
24702510
35002509

prune428.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 9.6b

regimes1.5s

Accuracy

0% (3.7b remaining)

Error of 12.4b against oracle of 8.6b and baseline of 12.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04229
14229

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.2s19177×body80valid