Details

Time bar (total: 5.6s)

sample28.0ms

Algorithm
intervals
Results
13.0ms265×body80valid

simplify11.0ms

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: 18.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ a 1.0) (/ (* y b) t))
4.6b
(/ (* y b) t)
6.2b
(/ (* y z) t)
12.9b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite62.0ms

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:
19.0ms
(+ (+ a 1.0) (/ (* y b) t))
3.0ms
(/ (* y b) t)
3.0ms
(/ (* y z) t)
33.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series166.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(+ (+ a 1.0) (/ (* y b) t))
19.0ms
(/ (* y b) t)
18.0ms
(/ (* y z) t)
100.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify59.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0488947
12162873
25003850

prune383.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 12.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (fma (/ y t) b (+ a 1.0)))
0.8b
(fma (/ y t) b (+ a 1.0))
6.2b
(/ (* y z) t)
12.9b
(* (+ x (/ (* y z) t)) (/ 1 (fma (/ y t) b (+ a 1.0))))

rewrite29.0ms

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)
20.0ms
(* (+ x (/ (* y z) t)) (/ 1 (fma (/ y t) b (+ a 1.0))))

series259.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(/ 1 (fma (/ y t) b (+ a 1.0)))
39.0ms
(fma (/ y t) b (+ a 1.0))
19.0ms
(/ (* y z) t)
86.0ms
(* (+ x (/ (* y z) t)) (/ 1 (fma (/ y t) b (+ a 1.0))))

simplify59.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0391851
11864745
25002696

prune350.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 11.7b

localize11.0ms

Local error

Found 3 expressions with local error:

0.8b
(fma (/ y t) b (+ a 1.0))
2.7b
(fma (/ y t) z x)
12.9b
(/ (fma (/ y t) z x) (fma (/ y t) b (+ a 1.0)))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
5×add-exp-log add-cbrt-cube
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×fma-udef
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
3 → 49
Calls
3 calls:
0.0ms
(fma (/ y t) b (+ a 1.0))
0.0ms
(fma (/ y t) z x)
2.0ms
(/ (fma (/ y t) z x) (fma (/ y t) b (+ a 1.0)))

series513.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(fma (/ y t) b (+ a 1.0))
38.0ms
(fma (/ y t) z x)
435.0ms
(/ (fma (/ y t) z x) (fma (/ y t) b (+ a 1.0)))

simplify40.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0126417
1322376
21234376
35002376

prune189.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 11.7b

localize19.0ms

Local error

Found 4 expressions with local error:

11.0b
(* (+ x (/ (* y z) t)) (* (cbrt (/ 1 (fma (/ y t) b (+ a 1.0)))) (cbrt (/ 1 (fma (/ y t) b (+ a 1.0))))))
12.2b
(cbrt (/ 1 (fma (/ y t) b (+ a 1.0))))
12.2b
(cbrt (/ 1 (fma (/ y t) b (+ a 1.0))))
12.2b
(cbrt (/ 1 (fma (/ y t) b (+ a 1.0))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
28×*-un-lft-identity
27×add-sqr-sqrt times-frac
26×add-cube-cbrt
15×cbrt-div
9×pow1 add-exp-log frac-times
7×add-cbrt-cube
6×associate-*r/
5×associate-*l/
4×expm1-log1p-u flip3-+ associate-*l* flip-+ log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down prod-exp cbrt-unprod div-inv
1×associate-*r* *-commutative distribute-lft-out unswap-sqr
Counts
4 → 105
Calls
4 calls:
36.0ms
(* (+ x (/ (* y z) t)) (* (cbrt (/ 1 (fma (/ y t) b (+ a 1.0)))) (cbrt (/ 1 (fma (/ y t) b (+ a 1.0))))))
2.0ms
(cbrt (/ 1 (fma (/ y t) b (+ a 1.0))))
2.0ms
(cbrt (/ 1 (fma (/ y t) b (+ a 1.0))))
2.0ms
(cbrt (/ 1 (fma (/ y t) b (+ a 1.0))))

series1.7s

Counts
4 → 12
Calls
4 calls:
1.0s
(* (+ x (/ (* y z) t)) (* (cbrt (/ 1 (fma (/ y t) b (+ a 1.0)))) (cbrt (/ 1 (fma (/ y t) b (+ a 1.0))))))
232.0ms
(cbrt (/ 1 (fma (/ y t) b (+ a 1.0))))
238.0ms
(cbrt (/ 1 (fma (/ y t) b (+ a 1.0))))
250.0ms
(cbrt (/ 1 (fma (/ y t) b (+ a 1.0))))

simplify50.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
04151493
114231387
250021339

prune455.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 11.5b

regimes355.0ms

Accuracy

5.4% (3.6b remaining)

Error of 14.5b against oracle of 10.9b and baseline of 14.7b

bsearch117.0ms

Steps
ItersRangePoint
9
2.2092675834068637e+207
1.4248530052633746e+213
2.2335193758523188e+207
8
-53.778044359686405
-0.05495133652606057
-1.0024750436620076

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03314
13314

end0.0ms

sample671.0ms

Algorithm
intervals
Results
365.0ms8298×body80valid