Details

Time bar (total: 15.3s)

sample126.0ms

Algorithm
intervals
Results
80.0ms633×body80valid

simplify77.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04314
19614
229114
382514
4202114
5500114

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.7b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(- (* y z) (* t a))
5.7b
(* j (- (* c t) (* i y)))
5.7b
(* b (- (* c z) (* i a)))
6.3b
(* x (- (* y z) (* t a)))

rewrite32.0ms

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:
2.0ms
(- (* y z) (* t a))
9.0ms
(* j (- (* c t) (* i y)))
9.0ms
(* b (- (* c z) (* i a)))
9.0ms
(* x (- (* y z) (* t a)))

series80.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(- (* y z) (* t a))
21.0ms
(* j (- (* c t) (* i y)))
26.0ms
(* b (- (* c z) (* i a)))
22.0ms
(* x (- (* y z) (* t a)))

simplify52.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0425552
11771485
25002485

prune1.5s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 10.0b

localize24.0ms

Local error

Found 4 expressions with local error:

2.6b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
3.8b
(* (cbrt x) (- (* y z) (* t a)))
5.7b
(* j (- (* c t) (* i y)))
5.7b
(* b (- (* c z) (* i a)))

rewrite60.0ms

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:
28.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
11.0ms
(* (cbrt x) (- (* y z) (* t a)))
9.0ms
(* j (- (* c t) (* i y)))
9.0ms
(* b (- (* c z) (* i a)))

series130.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
63.0ms
(* (cbrt x) (- (* y z) (* t a)))
21.0ms
(* j (- (* c t) (* i y)))
21.0ms
(* b (- (* c z) (* i a)))

simplify74.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
0571968
12535762
25001699

prune1.8s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 10.0b

localize24.0ms

Local error

Found 4 expressions with local error:

6.3b
(* x (- (* y z) (* t a)))
7.6b
(cbrt (- (* c t) (* i y)))
7.6b
(cbrt (- (* c t) (* i y)))
7.6b
(cbrt (- (* c t) (* i y)))

rewrite18.0ms

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 add-cbrt-cube
4×flip3-- flip-- add-log-exp
3×pow1/3 associate-*r* associate-*l*
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 63
Calls
4 calls:
9.0ms
(* x (- (* y z) (* t a)))
2.0ms
(cbrt (- (* c t) (* i y)))
2.0ms
(cbrt (- (* c t) (* i y)))
2.0ms
(cbrt (- (* c t) (* i y)))

series143.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* x (- (* y z) (* t a)))
41.0ms
(cbrt (- (* c t) (* i y)))
40.0ms
(cbrt (- (* c t) (* i y)))
40.0ms
(cbrt (- (* c t) (* i y)))

simplify99.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (92.0ms)

IterNodesCost
0315590
11061543
23732525
35001519

prune1.7s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 10.0b

localize26.0ms

Local error

Found 4 expressions with local error:

6.3b
(* x (- (* y z) (* t a)))
7.3b
(cbrt (* j (- (* c t) (* i y))))
7.3b
(cbrt (* j (- (* c t) (* i y))))
7.3b
(cbrt (* j (- (* c t) (* i y))))

rewrite21.0ms

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:
9.0ms
(* x (- (* y z) (* t a)))
4.0ms
(cbrt (* j (- (* c t) (* i y))))
4.0ms
(cbrt (* j (- (* c t) (* i y))))
4.0ms
(cbrt (* j (- (* c t) (* i y))))

series162.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* x (- (* y z) (* t a)))
47.0ms
(cbrt (* j (- (* c t) (* i y))))
46.0ms
(cbrt (* j (- (* c t) (* i y))))
48.0ms
(cbrt (* j (- (* c t) (* i y))))

simplify103.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (97.0ms)

IterNodesCost
0314542
11109489
24150480
35001477

prune1.2s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 10.0b

regimes4.2s

Accuracy

-8.8% (4.3b remaining)

Error of 13.0b against oracle of 8.7b and baseline of 12.6b

bsearch163.0ms

Steps
ItersRangePoint
9
9.02164274379965e-157
4.4796450041411847e-150
9.402059427026323e-157
9
-1.1838821388572887e-100
-1.7093078353660336e-105
-1.7229977138183682e-105

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05739
15739

end0.0ms

sample3.4s

Algorithm
intervals
Results
2.5s19253×body80valid