Details

Time bar (total: 7.7s)

sample82.0ms

Algorithm
intervals
Results
44.0ms644×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: 14.9b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* c a) (* y i))
4.5b
(* x (- (* y z) (* t a)))
6.5b
(* j (- (* c a) (* y i)))
7.2b
(* b (- (* c z) (* t i)))

rewrite35.0ms

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
(- (* c a) (* y i))
10.0ms
(* x (- (* y z) (* t a)))
9.0ms
(* j (- (* c a) (* y i)))
11.0ms
(* b (- (* c z) (* t i)))

series231.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(- (* c a) (* y i))
66.0ms
(* x (- (* y z) (* t a)))
62.0ms
(* j (- (* c a) (* y i)))
68.0ms
(* b (- (* c z) (* t i)))

simplify53.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0423552
11763485
25002485

prune403.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 10.7b

localize25.0ms

Local error

Found 4 expressions with local error:

7.2b
(* b (- (* c z) (* t i)))
7.4b
(cbrt (* b (- (* c z) (* t i))))
7.4b
(cbrt (* b (- (* c z) (* t i))))
7.4b
(cbrt (* b (- (* c z) (* t i))))

rewrite24.0ms

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:
11.0ms
(* b (- (* c z) (* t i)))
4.0ms
(cbrt (* b (- (* c z) (* t i))))
4.0ms
(cbrt (* b (- (* c z) (* t i))))
4.0ms
(cbrt (* b (- (* c z) (* t i))))

series461.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* b (- (* c z) (* t i)))
130.0ms
(cbrt (* b (- (* c z) (* t i))))
134.0ms
(cbrt (* b (- (* c z) (* t i))))
131.0ms
(cbrt (* b (- (* c z) (* t i))))

simplify92.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0254542
1913489
23481480
35001477

prune438.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 10.7b

localize29.0ms

Local error

Found 4 expressions with local error:

7.2b
(* b (- (* c z) (* t i)))
7.4b
(cbrt (* b (- (* c z) (* t i))))
7.4b
(cbrt (* b (- (* c z) (* t i))))
9.6b
(cbrt (- (* c z) (* t i)))

rewrite20.0ms

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:
9.0ms
(* b (- (* c z) (* t i)))
4.0ms
(cbrt (* b (- (* c z) (* t i))))
4.0ms
(cbrt (* b (- (* c z) (* t i))))
2.0ms
(cbrt (- (* c z) (* t i)))

series447.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* b (- (* c z) (* t i)))
134.0ms
(cbrt (* b (- (* c z) (* t i))))
135.0ms
(cbrt (* b (- (* c z) (* t i))))
110.0ms
(cbrt (- (* c z) (* t i)))

simplify117.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (110.0ms)

IterNodesCost
0326558
11092507
24023493
35001487

prune544.0ms

Pruning

21 alts after pruning (19 fresh and 2 done)

Merged error: 10.7b

localize33.0ms

Local error

Found 4 expressions with local error:

7.2b
(* b (- (* c z) (* t i)))
7.4b
(cbrt (* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* t i)))))
7.4b
(cbrt (* b (- (* c z) (* t i))))
7.4b
(cbrt (* b (- (* c z) (* t i))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*r/
8×add-sqr-sqrt
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:
11.0ms
(* b (- (* c z) (* t i)))
19.0ms
(cbrt (* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* t i)))))
4.0ms
(cbrt (* b (- (* c z) (* t i))))
4.0ms
(cbrt (* b (- (* c z) (* t i))))

series477.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(* b (- (* c z) (* t i)))
137.0ms
(cbrt (* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* t i)))))
133.0ms
(cbrt (* b (- (* c z) (* t i))))
138.0ms
(cbrt (* b (- (* c z) (* t i))))

simplify117.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (110.0ms)

IterNodesCost
0288607
11011544
24092535
35001482

prune417.0ms

Pruning

21 alts after pruning (18 fresh and 3 done)

Merged error: 10.7b

regimes1.1s

Accuracy

3.9% (3.9b remaining)

Error of 12.2b against oracle of 8.3b and baseline of 12.4b

bsearch150.0ms

Steps
ItersRangePoint
3
5.598250326558237e-240
7.669858363552344e-240
6.504578842743158e-240
9
-1.3047534056209266e-159
-1.4222811373456052e-168
-5.2318033429786034e-166

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05656
15656

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.3s19228×body80valid