Details

Time bar (total: 6.8s)

sample70.0ms

Algorithm
intervals
Results
50.0ms405×body80valid

simplify39.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03810
111210
238410
3156810
4500110

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite139.0ms

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:
11.0ms
(* (- t 1.0) a)
59.0ms
(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
10.0ms
(* (- y 1.0) z)
54.0ms
(* (- (+ y t) 2.0) b)

series240.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (- t 1.0) a)
155.0ms
(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
28.0ms
(* (- y 1.0) z)
28.0ms
(* (- (+ y t) 2.0) b)

simplify112.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
08861273
145451219
250011219

prune367.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt a) (cbrt a))
0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)

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 a) (cbrt a))
0.0ms
(cbrt a)
1.0ms
(cbrt a)
2.0ms
(cbrt a)

series729.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(* (cbrt a) (cbrt a))
186.0ms
(cbrt a)
173.0ms
(cbrt a)
174.0ms
(cbrt a)

simplify87.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune324.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
3.0ms
(cbrt a)
0.0ms
(cbrt a)
0.0ms
(cbrt a)
1.0ms
(cbrt a)

series715.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt a)
182.0ms
(cbrt a)
177.0ms
(cbrt a)
177.0ms
(cbrt a)

simplify126.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
040156
181144
2193136
3696136
44103136
55002136

prune441.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- (+ y t) 2.0) b)
0.0b
(+ (- (- x (/ (* (- (* y y) (* 1.0 1.0)) z) (+ y 1.0))) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
4.3b
(* (- (* y y) (* 1.0 1.0)) z)
7.8b
(/ (* (- (* y y) (* 1.0 1.0)) z) (+ y 1.0))

rewrite405.0ms

Algorithm
rewrite-expression-head
Rules
26×associate-*l/
19×flip3-- *-un-lft-identity flip--
16×add-sqr-sqrt
13×add-exp-log add-cbrt-cube add-log-exp
12×frac-add
10×add-cube-cbrt associate-*l*
8×pow1 frac-sub
6×associate-*r*
4×associate-+l+ times-frac associate-/r*
3×diff-log prod-exp sum-log cbrt-unprod distribute-lft-out
2×cbrt-undiv sub-neg flip3-+ div-exp pow-prod-down associate--l+ associate-/r/ *-commutative flip-+ associate-/l/ distribute-lft-out-- difference-of-squares unswap-sqr
1×+-commutative associate-+l- frac-2neg clear-num div-inv associate-/l*
Counts
4 → 101
Calls
4 calls:
53.0ms
(* (- (+ y t) 2.0) b)
328.0ms
(+ (- (- x (/ (* (- (* y y) (* 1.0 1.0)) z) (+ y 1.0))) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
10.0ms
(* (- (* y y) (* 1.0 1.0)) z)
9.0ms
(/ (* (- (* y y) (* 1.0 1.0)) z) (+ y 1.0))

series329.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (- (+ y t) 2.0) b)
205.0ms
(+ (- (- x (/ (* (- (* y y) (* 1.0 1.0)) z) (+ y 1.0))) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
40.0ms
(* (- (* y y) (* 1.0 1.0)) z)
59.0ms
(/ (* (- (* y y) (* 1.0 1.0)) z) (+ y 1.0))

simplify42.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010131868
150011776

prune412.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes231.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03327
13327

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.5s12470×body80valid
1.0ms2×body640valid
1.0ms2×body1280valid
0.0ms1×body320valid
0.0ms1×body160valid