Details

Time bar (total: 11.0s)

sample42.0ms

Algorithm
intervals
Results
22.0ms399×body80valid

simplify38.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03810
111210
238410
3156810
4500110

prune3.0ms

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: 0.0b

Counts
2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
0.0b
(* (- y 1.0) z)
0.0b
(* (- t 1.0) a)
0.0b
(* (- (+ y t) 2.0) b)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
26×associate-*l/
22×add-sqr-sqrt
19×flip3-- *-un-lft-identity flip--
16×associate-*l*
13×add-log-exp
12×frac-add
10×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
9×associate-*r*
8×frac-sub
4×associate-+l+ distribute-lft-out--
3×diff-log pow-prod-down prod-exp sum-log *-commutative cbrt-unprod difference-of-squares unswap-sqr
2×sub-neg associate--l+
1×+-commutative associate-+l- flip3-+ flip-+ distribute-lft-out
Counts
4 → 97
Calls
4 calls:
13.0ms
(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
6.0ms
(* (- y 1.0) z)
6.0ms
(* (- t 1.0) a)
8.0ms
(* (- (+ y t) 2.0) b)

series241.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
28.0ms
(* (- y 1.0) z)
29.0ms
(* (- t 1.0) a)
32.0ms
(* (- (+ y t) 2.0) b)

simplify104.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
08861273
145451219
250011219

prune305.0ms

Filtered
109 candidates to 75 candidates (68.8%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1054109
Fresh000
Picked101
Done000
Total1064110

Merged error: 0b

Counts
110 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (- t 1.0) a)) (cbrt (* (- t 1.0) a)))
0.6b
(cbrt (* (- t 1.0) a))
0.6b
(cbrt (* (- t 1.0) a))
0.6b
(cbrt (* (- t 1.0) a))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×associate-*r/ pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
7.0ms
(* (cbrt (* (- t 1.0) a)) (cbrt (* (- t 1.0) a)))
5.0ms
(cbrt (* (- t 1.0) a))
5.0ms
(cbrt (* (- t 1.0) a))
5.0ms
(cbrt (* (- t 1.0) a))

series346.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(* (cbrt (* (- t 1.0) a)) (cbrt (* (- t 1.0) a)))
82.0ms
(cbrt (* (- t 1.0) a))
83.0ms
(cbrt (* (- t 1.0) a))
83.0ms
(cbrt (* (- t 1.0) a))

simplify128.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 3 (119.0ms)

IterNodesCost
0353839
11065784
24742705
35002698

prune334.0ms

Filtered
84 candidates to 67 candidates (79.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New84084
Fresh033
Picked011
Done000
Total84488

Merged error: 0b

Counts
88 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
6.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series739.0ms

Counts
4 → 12
Calls
4 calls:
203.0ms
(* (cbrt z) (cbrt z))
182.0ms
(cbrt z)
179.0ms
(cbrt z)
174.0ms
(cbrt z)

simplify89.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (83.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune275.0ms

Filtered
85 candidates to 64 candidates (75.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh022
Picked011
Done011
Total85489

Merged error: 0b

Counts
89 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- (+ y t) 2.0) b)
0.0b
(sqrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b)))
0.0b
(sqrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b)))
0.2b
(* (sqrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))) (sqrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
656×associate-*l/
513×flip3-- flip--
448×sqrt-div
384×frac-add
256×frac-sub
196×frac-times
34×add-sqr-sqrt
32×flip3-+ flip-+
24×sqrt-prod
23×pow1
21×*-un-lft-identity
16×add-cube-cbrt
14×associate-*r/
12×associate-*l*
10×sqrt-pow1 pow1/2
9×associate-*r*
8×add-exp-log swap-sqr add-cbrt-cube
5×pow-prod-up unswap-sqr
4×pow-prod-down add-log-exp
3×pow-sqr
2×rem-sqrt-square prod-exp *-commutative cbrt-unprod distribute-lft-out--
1×pow2 pow-plus sqrt-unprod rem-square-sqrt distribute-lft-out difference-of-squares
Counts
4 → 350
Calls
4 calls:
9.0ms
(* (- (+ y t) 2.0) b)
11.0ms
(sqrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b)))
11.0ms
(sqrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b)))
37.0ms
(* (sqrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))) (sqrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))))

series4.5s

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (- (+ y t) 2.0) b)
2.2s
(sqrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b)))
2.2s
(sqrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b)))
157.0ms
(* (sqrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))) (sqrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))))

simplify261.0ms

Algorithm
egg-herbie
Counts
362 → 362
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
0132627632
1500127453

prune2.0s

Filtered
362 candidates to 210 candidates (58.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New3620362
Fresh011
Picked011
Done022
Total3624366

Merged error: 0b

Counts
366 → 4

regimes205.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02719
12719

end0.0ms

sample1.1s

Algorithm
intervals
Results
639.0ms12389×body80valid
0.0ms4×body160valid
0.0ms2×body320valid
0.0ms1×body1280valid
0.0ms1×body640valid