Details

Time bar (total: 5.8s)

sample25.0ms

Algorithm
intervals
Results
11.0ms267×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0268
1398
2518
3618
4658
5658

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: 17.1b

Counts
2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ a 1.0) (/ (* y b) t))
5.6b
(/ (* y b) t)
5.9b
(/ (* y z) t)
10.5b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
64×*-un-lft-identity
26×times-frac
25×distribute-lft-out
20×add-sqr-sqrt add-cube-cbrt
16×add-exp-log add-cbrt-cube
11×associate-/r*
9×add-log-exp
6×associate-/l*
5×cbrt-undiv flip3-+ div-exp flip-+
4×pow1 expm1-log1p-u fma-def frac-add associate-/r/ log1p-expm1-u
3×frac-2neg clear-num sum-log div-inv
2×prod-exp cbrt-unprod associate-/l/
1×+-commutative associate-+l+
Counts
4 → 118
Calls
4 calls:
7.0ms
(+ (+ a 1.0) (/ (* y b) t))
4.0ms
(/ (* y b) t)
5.0ms
(/ (* y z) t)
13.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series182.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(+ (+ a 1.0) (/ (* y b) t))
21.0ms
(/ (* y b) t)
22.0ms
(/ (* y z) t)
108.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify64.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0488947
12162873
25003850

prune355.0ms

Filtered
130 candidates to 90 candidates (69.2%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New11911130
Fresh000
Picked101
Done000
Total12011131

Merged error: 10.8b

Counts
131 → 11

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
3.1b
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
5.9b
(/ (* y z) t)
10.5b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
43×times-frac
39×*-un-lft-identity
32×add-exp-log
31×add-cube-cbrt
25×add-cbrt-cube
22×associate-*r*
14×cbrt-prod
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
8×associate-/r/
7×associate-*l*
6×pow1 frac-add associate-/r* unswap-sqr
5×flip3-+ flip-+ associate-/l*
4×expm1-log1p-u log1p-expm1-u div-inv distribute-lft-out add-log-exp
3×frac-times associate-*r/ associate-*l/
2×frac-2neg clear-num associate-/l/
1×pow1/3 pow-prod-down *-commutative
Counts
4 → 140
Calls
4 calls:
1.0ms
(cbrt t)
15.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
4.0ms
(/ (* y z) t)
11.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

series380.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt t)
48.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
20.0ms
(/ (* y z) t)
132.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

simplify100.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
08061621
140631415
250011357

prune512.0ms

Filtered
152 candidates to 114 candidates (75.0%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New1484152
Fresh01010
Picked101
Done000
Total14914163

Merged error: 9.2b

Counts
163 → 14

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
2.4b
(fma (/ y t) z x)
3.1b
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
10.5b
(/ (fma (/ y t) z x) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
37×times-frac
28×add-cube-cbrt *-un-lft-identity
27×add-exp-log
22×associate-*r*
20×add-cbrt-cube
14×cbrt-prod
8×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod
7×associate-*l*
6×pow1 frac-add unswap-sqr
4×expm1-log1p-u flip3-+ flip-+ log1p-expm1-u add-log-exp
3×frac-times associate-*r/ associate-*l/ associate-/r* div-inv associate-/l*
1×frac-2neg pow1/3 pow-prod-down clear-num *-commutative fma-udef
Counts
4 → 121
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(fma (/ y t) z x)
15.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
7.0ms
(/ (fma (/ y t) z x) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

series741.0ms

Counts
4 → 12
Calls
4 calls:
192.0ms
(cbrt t)
37.0ms
(fma (/ y t) z x)
54.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
457.0ms
(/ (fma (/ y t) z x) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

simplify90.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
06701404
131471221
250011177

prune465.0ms

Filtered
133 candidates to 101 candidates (75.9%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New1294133
Fresh21113
Picked101
Done000
Total13215147

Merged error: 9.1b

Counts
147 → 15

localize22.0ms

Local error

Found 4 expressions with local error:

9.2b
(cbrt (/ y (* (cbrt t) (cbrt t))))
9.2b
(cbrt (/ y (* (cbrt t) (cbrt t))))
9.2b
(cbrt (/ y (* (cbrt t) (cbrt t))))
10.5b
(/ (fma (/ y t) z x) (+ (+ a 1.0) (* (* (cbrt (/ y (* (cbrt t) (cbrt t)))) (cbrt (/ y (* (cbrt t) (cbrt t))))) (* (cbrt (/ y (* (cbrt t) (cbrt t)))) (/ b (cbrt t))))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
51×cbrt-div
34×frac-times
32×associate-/r/
30×frac-add
22×associate-*r/ associate-*l/
21×cbrt-prod
18×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
16×flip3-+ flip-+
6×add-exp-log add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×pow1/3 associate-/r* associate-/l*
1×cbrt-undiv frac-2neg div-exp clear-num
Counts
4 → 115
Calls
4 calls:
9.0ms
(cbrt (/ y (* (cbrt t) (cbrt t))))
5.0ms
(cbrt (/ y (* (cbrt t) (cbrt t))))
5.0ms
(cbrt (/ y (* (cbrt t) (cbrt t))))
11.0ms
(/ (fma (/ y t) z x) (+ (+ a 1.0) (* (* (cbrt (/ y (* (cbrt t) (cbrt t)))) (cbrt (/ y (* (cbrt t) (cbrt t))))) (* (cbrt (/ y (* (cbrt t) (cbrt t)))) (/ b (cbrt t))))))

series892.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(cbrt (/ y (* (cbrt t) (cbrt t))))
163.0ms
(cbrt (/ y (* (cbrt t) (cbrt t))))
165.0ms
(cbrt (/ y (* (cbrt t) (cbrt t))))
416.0ms
(/ (fma (/ y t) z x) (+ (+ a 1.0) (* (* (cbrt (/ y (* (cbrt t) (cbrt t)))) (cbrt (/ y (* (cbrt t) (cbrt t))))) (* (cbrt (/ y (* (cbrt t) (cbrt t)))) (/ b (cbrt t))))))

simplify85.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06322673
122872476
250022361

prune519.0ms

Filtered
127 candidates to 100 candidates (78.7%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New1270127
Fresh01414
Picked011
Done000
Total12715142

Merged error: 9.1b

Counts
142 → 15

regimes487.0ms

Accuracy

0% (4.9b remaining)

Error of 15.1b against oracle of 10.2b and baseline of 15.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02425
12425

end0.0ms

sample657.0ms

Algorithm
intervals
Results
363.0ms8263×body80valid