Details

Time bar (total: 6.2s)

sample52.0ms

Algorithm
intervals
Results
36.0ms263×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0268
1398
2518
3618
4658
5658

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ a 1.0) (/ (* y b) t))
5.2b
(/ (* y z) t)
5.9b
(/ (* y b) t)
16.5b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite68.0ms

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:
18.0ms
(+ (+ a 1.0) (/ (* y b) t))
3.0ms
(/ (* y z) t)
3.0ms
(/ (* y b) t)
39.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series187.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ (+ a 1.0) (/ (* y b) t))
19.0ms
(/ (* y z) t)
21.0ms
(/ (* y b) t)
112.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify65.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0488947
12162873
25003850

prune422.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 16.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ 1 (fma (/ y t) b (+ a 1.0)))
3.8b
(fma (/ y t) b (+ a 1.0))
5.2b
(/ (* y z) t)
16.3b
(* (+ x (/ (* y z) t)) (/ 1 (fma (/ y t) b (+ a 1.0))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
25×*-un-lft-identity
23×times-frac
22×add-exp-log add-cube-cbrt
16×add-cbrt-cube
13×associate-*r*
7×pow1
6×div-exp associate-/r*
5×prod-exp
4×cbrt-undiv expm1-log1p-u associate-*l* log1p-expm1-u associate-/l* add-log-exp
3×cbrt-unprod div-inv unswap-sqr
2×frac-times rec-exp frac-2neg flip3-+ 1-exp associate-*l/ clear-num flip-+
1×pow-flip associate-*r/ pow-prod-down un-div-inv *-commutative fma-udef distribute-lft-out inv-pow
Counts
4 → 109
Calls
4 calls:
2.0ms
(/ 1 (fma (/ y t) b (+ a 1.0)))
0.0ms
(fma (/ y t) b (+ a 1.0))
3.0ms
(/ (* y z) t)
23.0ms
(* (+ x (/ (* y z) t)) (/ 1 (fma (/ y t) b (+ a 1.0))))

series271.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(/ 1 (fma (/ y t) b (+ a 1.0)))
38.0ms
(fma (/ y t) b (+ a 1.0))
23.0ms
(/ (* y z) t)
90.0ms
(* (+ x (/ (* y z) t)) (/ 1 (fma (/ y t) b (+ a 1.0))))

simplify61.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0391851
11864745
25002696

prune391.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 15.8b

localize14.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ 1 (fma (/ y t) b (+ a 1.0)))
3.8b
(fma (/ y t) b (+ a 1.0))
3.8b
(fma (/ y t) z x)
16.3b
(* (fma (/ y t) z x) (/ 1 (fma (/ y t) b (+ a 1.0))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity
20×add-cube-cbrt times-frac
17×add-exp-log
13×associate-*r*
11×add-cbrt-cube
7×pow1
4×expm1-log1p-u div-exp prod-exp log1p-expm1-u add-log-exp
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod fma-udef div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
4 → 91
Calls
4 calls:
2.0ms
(/ 1 (fma (/ y t) b (+ a 1.0)))
0.0ms
(fma (/ y t) b (+ a 1.0))
0.0ms
(fma (/ y t) z x)
9.0ms
(* (fma (/ y t) z x) (/ 1 (fma (/ y t) b (+ a 1.0))))

series677.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(/ 1 (fma (/ y t) b (+ a 1.0)))
38.0ms
(fma (/ y t) b (+ a 1.0))
44.0ms
(fma (/ y t) z x)
467.0ms
(* (fma (/ y t) z x) (/ 1 (fma (/ y t) b (+ a 1.0))))

simplify86.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0229705
1873610
24531580
35002580

prune320.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 15.7b

localize19.0ms

Local error

Found 4 expressions with local error:

12.2b
(cbrt (fma (/ y t) z x))
12.2b
(cbrt (fma (/ y t) z x))
12.2b
(cbrt (fma (/ y t) z x))
16.3b
(* (* (* (cbrt (fma (/ y t) z x)) (cbrt (fma (/ y t) z x))) (cbrt (fma (/ y t) z x))) (/ 1 (fma (/ y t) b (+ a 1.0))))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
43×add-exp-log
24×prod-exp
17×add-cbrt-cube
14×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×pow1 associate-*r*
12×cbrt-unprod
9×cbrt-prod times-frac
6×div-exp pow-prod-down
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv rec-exp pow1/3 1-exp
1×associate-*r/ associate-*l* un-div-inv *-commutative div-inv
Counts
4 → 86
Calls
4 calls:
0.0ms
(cbrt (fma (/ y t) z x))
1.0ms
(cbrt (fma (/ y t) z x))
1.0ms
(cbrt (fma (/ y t) z x))
59.0ms
(* (* (* (cbrt (fma (/ y t) z x)) (cbrt (fma (/ y t) z x))) (cbrt (fma (/ y t) z x))) (/ 1 (fma (/ y t) b (+ a 1.0))))

series968.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(cbrt (fma (/ y t) z x))
164.0ms
(cbrt (fma (/ y t) z x))
171.0ms
(cbrt (fma (/ y t) z x))
464.0ms
(* (* (* (cbrt (fma (/ y t) z x)) (cbrt (fma (/ y t) z x))) (cbrt (fma (/ y t) z x))) (/ 1 (fma (/ y t) b (+ a 1.0))))

simplify59.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
03621178
11629809
25002692

prune332.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 15.7b

regimes472.0ms

Accuracy

-0.4% (4.3b remaining)

Error of 14.9b against oracle of 10.6b and baseline of 14.9b

bsearch158.0ms

Steps
ItersRangePoint
8
1410925918.7866285
31682070757356.04
1502069550.1706839
8
-5.840480299398529e-51
-2.662318411039637e-55
-6.162748355773516e-52

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03715
13715

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.1s8270×body80valid