Details

Time bar (total: 10.0s)

sample150.0ms

Algorithm
intervals
Results
112.0ms632×body80valid

simplify77.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04314
19614
229114
382514
4202114
5500114

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.5b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* c t) (* i y))
3.6b
(* b (- (* c z) (* i a)))
3.8b
(* x (- (* y z) (* t a)))
4.9b
(* j (- (* c t) (* i y)))

rewrite31.0ms

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

series238.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(- (* c t) (* i y))
63.0ms
(* b (- (* c z) (* i a)))
67.0ms
(* x (- (* y z) (* t a)))
68.0ms
(* j (- (* c t) (* i y)))

simplify51.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0424552
11770485
25001485

prune405.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 6.6b

localize28.0ms

Local error

Found 4 expressions with local error:

4.6b
(cbrt (* x (- (* y z) (* t a))))
4.6b
(cbrt (* x (- (* y z) (* t a))))
4.6b
(cbrt (* x (- (* y z) (* t a))))
4.9b
(* 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:
4.0ms
(cbrt (* x (- (* y z) (* t a))))
4.0ms
(cbrt (* x (- (* y z) (* t a))))
3.0ms
(cbrt (* x (- (* y z) (* t a))))
9.0ms
(* j (- (* c t) (* i y)))

series480.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(cbrt (* x (- (* y z) (* t a))))
135.0ms
(cbrt (* x (- (* y z) (* t a))))
138.0ms
(cbrt (* x (- (* y z) (* t a))))
64.0ms
(* j (- (* c t) (* i y)))

simplify110.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (103.0ms)

IterNodesCost
0313542
11108489
24150480
35002477

prune441.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 6.6b

localize32.0ms

Local error

Found 4 expressions with local error:

4.6b
(cbrt (* x (- (* y z) (* t a))))
4.6b
(cbrt (* x (- (* y z) (* t a))))
4.9b
(* j (- (* c t) (* i y)))
5.8b
(cbrt (- (* y z) (* t a)))

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:
4.0ms
(cbrt (* x (- (* y z) (* t a))))
3.0ms
(cbrt (* x (- (* y z) (* t a))))
9.0ms
(* j (- (* c t) (* i y)))
2.0ms
(cbrt (- (* y z) (* t a)))

series464.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(cbrt (* x (- (* y z) (* t a))))
137.0ms
(cbrt (* x (- (* y z) (* t a))))
69.0ms
(* j (- (* c t) (* i y)))
117.0ms
(cbrt (- (* y z) (* t a)))

simplify116.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0384558
11287507
24689493
35001493

prune505.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 6.6b

localize23.0ms

Local error

Found 4 expressions with local error:

1.2b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
2.8b
(* (cbrt x) (- (* y z) (* t a)))
3.6b
(* b (- (* c z) (* i a)))
4.9b
(* j (- (* c t) (* i y)))

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 x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
10.0ms
(* (cbrt x) (- (* y z) (* t a)))
9.0ms
(* b (- (* c z) (* i a)))
13.0ms
(* j (- (* c t) (* i y)))

series705.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
470.0ms
(* (cbrt x) (- (* y z) (* t a)))
67.0ms
(* b (- (* c z) (* i a)))
68.0ms
(* j (- (* c t) (* i y)))

simplify78.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
0571968
12535762
25001699

prune415.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 6.6b

regimes929.0ms

Accuracy

5% (3.7b remaining)

Error of 12.1b against oracle of 8.4b and baseline of 12.3b

bsearch205.0ms

Steps
ItersRangePoint
6
1.9967792972069281e-218
2.961033549038271e-217
1.482328301763721e-217
7
-4.6580600805654477e-156
-2.5744595640146742e-157
-2.8874577549273917e-157

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05966
15966

end0.0ms

sample4.3s

Algorithm
intervals
Results
3.4s19135×body80valid