Details

Time bar (total: 7.5s)

sample121.0ms

Algorithm
intervals
Results
72.0ms627×body80valid

simplify77.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04314
19614
229114
382514
4202114
5500114

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 11.7b

Counts
2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* y z) (* t a))
4.0b
(* b (- (* c z) (* i a)))
4.9b
(* x (- (* y z) (* t a)))
6.5b
(* j (- (* c t) (* i y)))

rewrite26.0ms

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:
3.0ms
(- (* y z) (* t a))
6.0ms
(* b (- (* c z) (* i a)))
8.0ms
(* x (- (* y z) (* t a)))
6.0ms
(* j (- (* c t) (* i y)))

series243.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(- (* y z) (* t a))
70.0ms
(* b (- (* c z) (* i a)))
71.0ms
(* x (- (* y z) (* t a)))
66.0ms
(* j (- (* c t) (* i y)))

simplify53.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0425552
11771485
25002485

prune392.0ms

Filtered
96 candidates to 63 candidates (65.6%)
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New791796
Fresh000
Picked101
Done000
Total801797

Merged error: 7.6b

Counts
97 → 17

localize25.0ms

Local error

Found 4 expressions with local error:

3.2b
(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
3.5b
(* (cbrt j) (- (* c t) (* i y)))
4.0b
(* b (- (* c z) (* i a)))
4.9b
(* x (- (* y z) (* t a)))

rewrite36.0ms

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:
12.0ms
(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
10.0ms
(* (cbrt j) (- (* c t) (* i y)))
6.0ms
(* b (- (* c z) (* i a)))
6.0ms
(* x (- (* y z) (* t a)))

series563.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
333.0ms
(* (cbrt j) (- (* c t) (* i y)))
67.0ms
(* b (- (* c z) (* i a)))
64.0ms
(* x (- (* y z) (* t a)))

simplify84.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
0576966
12593762
25001699

prune657.0ms

Filtered
120 candidates to 74 candidates (61.7%)
Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New1173120
Fresh01616
Picked011
Done000
Total11720137

Merged error: 6.5b

Counts
137 → 20

localize28.0ms

Local error

Found 4 expressions with local error:

4.0b
(* b (- (* c z) (* i a)))
4.9b
(* x (- (* y z) (* t a)))
5.4b
(* (- j) (* i y))
5.6b
(* t (* j c))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
19×associate-*l*
18×pow1 add-exp-log add-cbrt-cube
16×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
8×associate-*r* 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×distribute-lft-neg-out neg-mul-1
Counts
4 → 92
Calls
4 calls:
6.0ms
(* b (- (* c z) (* i a)))
6.0ms
(* x (- (* y z) (* t a)))
6.0ms
(* (- j) (* i y))
5.0ms
(* t (* j c))

series191.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(* b (- (* c z) (* i a)))
69.0ms
(* x (- (* y z) (* t a)))
28.0ms
(* (- j) (* i y))
26.0ms
(* t (* j c))

simplify61.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0484497
12035427
25001427

prune405.0ms

Filtered
104 candidates to 68 candidates (65.4%)
Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New977104
Fresh51318
Picked101
Done011
Total10321124

Merged error: 4.8b

Counts
124 → 21

localize24.0ms

Local error

Found 4 expressions with local error:

4.0b
(* b (- (* c z) (* i a)))
4.9b
(* x (- (* y z) (* t a)))
5.3b
(* (* (- j) i) y)
5.6b
(* t (* j c))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
14×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity associate-*r* 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
2×distribute-lft-neg-out flip3-- flip-- unswap-sqr
Counts
4 → 85
Calls
4 calls:
6.0ms
(* b (- (* c z) (* i a)))
6.0ms
(* x (- (* y z) (* t a)))
6.0ms
(* (* (- j) i) y)
5.0ms
(* t (* j c))

series188.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* b (- (* c z) (* i a)))
68.0ms
(* x (- (* y z) (* t a)))
27.0ms
(* (* (- j) i) y)
29.0ms
(* t (* j c))

simplify64.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0470476
12057406
25002406

prune276.0ms

Filtered
97 candidates to 58 candidates (59.8%)
Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New93497
Fresh51419
Picked101
Done011
Total9919118

Merged error: 4.5b

Counts
118 → 19

regimes1.1s

Accuracy

46.4% (3.7b remaining)

Error of 9.6b against oracle of 5.9b and baseline of 12.8b

bsearch307.0ms

Steps
ItersRangePoint
9
17101991721135.146
1.0959492657152332e+21
14736619545097708.0
11
-7.182806492837562e+62
-6.907653366214798e+42
-2.0735412823701647e+46

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06535
17135
27735
37735

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.6s18952×body80valid