Details

Time bar (total: 6.5s)

sample79.0ms

Algorithm
intervals
Results
40.0ms647×body80valid

simplify78.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04314
19614
229114
382514
4202114
5500114

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.7b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* c z) (* i a))
4.0b
(* j (- (* c t) (* i y)))
4.8b
(* b (- (* c z) (* i a)))
5.9b
(* x (- (* y z) (* t a)))

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 z) (* i a))
10.0ms
(* j (- (* c t) (* i y)))
9.0ms
(* b (- (* c z) (* i a)))
12.0ms
(* x (- (* y z) (* t a)))

series237.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(- (* c z) (* i a))
69.0ms
(* j (- (* c t) (* i y)))
63.0ms
(* b (- (* c z) (* i a)))
68.0ms
(* x (- (* y z) (* t a)))

simplify55.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0425552
11771485
25002485

prune421.0ms

Filtered
96 candidates to 63 candidates (65.6%)
Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 7.1b

localize22.0ms

Local error

Found 4 expressions with local error:

4.0b
(* j (- (* c t) (* i y)))
4.8b
(* b (- (* c z) (* i a)))
6.0b
(* x (- (* t a)))
6.2b
(* x (* y z))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×pow1 add-exp-log add-cbrt-cube
13×associate-*r*
12×associate-*l*
11×add-cube-cbrt *-un-lft-identity
6×pow-prod-down prod-exp cbrt-unprod
4×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ *-commutative add-log-exp
3×unswap-sqr
2×flip3-- flip--
1×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in distribute-rgt-neg-out
Counts
4 → 88
Calls
4 calls:
9.0ms
(* j (- (* c t) (* i y)))
9.0ms
(* b (- (* c z) (* i a)))
7.0ms
(* x (- (* t a)))
6.0ms
(* x (* y z))

series188.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(* j (- (* c t) (* i y)))
68.0ms
(* b (- (* c z) (* i a)))
28.0ms
(* x (- (* t a)))
24.0ms
(* x (* y z))

simplify60.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0444484
12062419
25001419

prune470.0ms

Filtered
100 candidates to 70 candidates (70.0%)
Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 4.3b

localize22.0ms

Local error

Found 4 expressions with local error:

3.9b
(* (* x t) (- a))
4.0b
(* j (- (* c t) (* i y)))
4.8b
(* b (- (* c z) (* i a)))
6.2b
(* x (* y z))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
17×associate-*r*
16×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
10×associate-*l*
8×pow-prod-down prod-exp cbrt-unprod
4×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ *-commutative add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in
2×flip3-- flip-- unswap-sqr
1×neg-mul-1 distribute-rgt-neg-out
Counts
4 → 92
Calls
4 calls:
8.0ms
(* (* x t) (- a))
9.0ms
(* j (- (* c t) (* i y)))
13.0ms
(* b (- (* c z) (* i a)))
6.0ms
(* x (* y z))

series187.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (* x t) (- a))
68.0ms
(* j (- (* c t) (* i y)))
68.0ms
(* b (- (* c z) (* i a)))
24.0ms
(* x (* y z))

simplify63.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0503500
12315430
25002430

prune660.0ms

Filtered
104 candidates to 69 candidates (66.3%)
Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 4.1b

localize23.0ms

Local error

Found 4 expressions with local error:

3.9b
(* (* x t) (- a))
4.0b
(* j (- (* c t) (* i y)))
4.1b
(* (* x y) z)
4.8b
(* b (- (* c z) (* i a)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
19×associate-*r*
18×pow1 add-exp-log add-cbrt-cube
16×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
8×associate-*l* pow-prod-down prod-exp cbrt-unprod
4×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ *-commutative add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in
2×flip3-- flip-- unswap-sqr
1×neg-mul-1 distribute-rgt-neg-out
Counts
4 → 92
Calls
4 calls:
8.0ms
(* (* x t) (- a))
11.0ms
(* j (- (* c t) (* i y)))
7.0ms
(* (* x y) z)
10.0ms
(* b (- (* c z) (* i a)))

series185.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (* x t) (- a))
64.0ms
(* j (- (* c t) (* i y)))
27.0ms
(* (* x y) z)
63.0ms
(* b (- (* c z) (* i a)))

simplify69.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0510501
12467431
25001431

prune369.0ms

Filtered
104 candidates to 67 candidates (64.4%)
Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 4.0b

regimes987.0ms

Accuracy

12.1% (5.9b remaining)

Error of 11.5b against oracle of 5.6b and baseline of 12.3b

bsearch95.0ms

Steps
ItersRangePoint
7
1.1859446485540357e-50
6.698303343205029e-49
1.3080697377411826e-50

simplify5.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06141
17141
27741
37741

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.2s18975×body80valid