Details

Time bar (total: 8.0s)

sample74.0ms

Algorithm
intervals
Results
37.0ms595×body80valid

simplify77.0ms

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: 12.8b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* c z) (* i a))
4.7b
(* j (- (* c t) (* i y)))
5.5b
(* b (- (* c z) (* i a)))
5.9b
(* 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
(- (* c z) (* i a))
9.0ms
(* j (- (* c t) (* i y)))
9.0ms
(* b (- (* c z) (* i a)))
9.0ms
(* x (- (* y z) (* t a)))

series235.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(- (* c z) (* i a))
64.0ms
(* j (- (* c t) (* i y)))
66.0ms
(* 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
0425552
11771485
25002485

prune390.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 8.0b

localize28.0ms

Local error

Found 4 expressions with local error:

5.9b
(* x (- (* y z) (* t a)))
6.4b
(cbrt (* x (- (* y z) (* t a))))
6.4b
(cbrt (* x (- (* y z) (* t a))))
6.4b
(cbrt (* x (- (* y z) (* t a))))

rewrite22.0ms

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 (* x (- (* y z) (* t a))))
4.0ms
(cbrt (* x (- (* y z) (* t a))))
4.0ms
(cbrt (* x (- (* y z) (* t a))))

series477.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* x (- (* y z) (* t a)))
131.0ms
(cbrt (* x (- (* y z) (* t a))))
139.0ms
(cbrt (* x (- (* y z) (* t a))))
141.0ms
(cbrt (* x (- (* y z) (* t a))))

simplify91.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0257542
1923489
23487480
35002477

prune515.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 8.0b

localize29.0ms

Local error

Found 4 expressions with local error:

5.9b
(* x (- (* y z) (* t a)))
6.4b
(cbrt (* x (- (* y z) (* t a))))
6.4b
(cbrt (* x (- (* y z) (* t a))))
7.0b
(cbrt (- (* y z) (* t a)))

rewrite22.0ms

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:
11.0ms
(* x (- (* y z) (* t a)))
4.0ms
(cbrt (* x (- (* y z) (* t a))))
4.0ms
(cbrt (* x (- (* y z) (* t a))))
2.0ms
(cbrt (- (* y z) (* t a)))

series445.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* x (- (* y z) (* t a)))
138.0ms
(cbrt (* x (- (* y z) (* t a))))
132.0ms
(cbrt (* x (- (* y z) (* t a))))
111.0ms
(cbrt (- (* y z) (* t a)))

simplify118.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (107.0ms)

IterNodesCost
0326558
11100507
24050493
35003487

prune519.0ms

Pruning

22 alts after pruning (20 fresh and 2 done)

Merged error: 8.0b

localize24.0ms

Local error

Found 4 expressions with local error:

2.2b
(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
2.7b
(* (cbrt j) (- (* c t) (* i y)))
5.5b
(* b (- (* c z) (* i a)))
5.9b
(* 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:
24.0ms
(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
10.0ms
(* (cbrt j) (- (* c t) (* i y)))
12.0ms
(* b (- (* c z) (* i a)))
9.0ms
(* x (- (* y z) (* t a)))

series507.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
273.0ms
(* (cbrt j) (- (* c t) (* i y)))
67.0ms
(* b (- (* c z) (* i a)))
67.0ms
(* x (- (* y z) (* t a)))

simplify79.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
0576966
12593762
25001699

prune449.0ms

Pruning

24 alts after pruning (22 fresh and 2 done)

Merged error: 6.8b

regimes1.3s

Accuracy

2.8% (5.1b remaining)

Error of 12.5b against oracle of 7.5b and baseline of 12.7b

bsearch221.0ms

Steps
ItersRangePoint
8
1.531449904657733e-235
9.81316078903804e-233
1.5869106614607107e-234
10
-3.8730876141943625e-165
-6.332287579989247e-178
-4.01645147109428e-173

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05826
16826
27526
37526

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.2s19232×body80valid