Details

Time bar (total: 6.7s)

sample28.0ms

Algorithm
intervals
Results
10.0ms270×body80valid

simplify13.0ms

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: 18.3b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ a 1.0) (/ (* y b) t))
5.2b
(/ (* y b) t)
5.3b
(/ (* y z) t)
12.6b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite130.0ms

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:
34.0ms
(+ (+ a 1.0) (/ (* y b) t))
12.0ms
(/ (* y b) t)
10.0ms
(/ (* y z) t)
71.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series201.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(+ (+ a 1.0) (/ (* y b) t))
26.0ms
(/ (* y b) t)
20.0ms
(/ (* y z) t)
120.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify57.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0488947
12162873
25003850

prune394.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 11.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
4.6b
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
5.3b
(/ (* y z) t)
12.6b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

rewrite125.0ms

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)
45.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
10.0ms
(/ (* y z) t)
64.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

series426.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(cbrt t)
53.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
26.0ms
(/ (* y z) t)
155.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

simplify105.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
08061621
140631415
250011357

prune581.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 10.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
4.4b
(fma (/ y t) z x)
4.6b
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
12.6b
(/ (fma (/ y t) z x) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

rewrite88.0ms

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)
0.0ms
(fma (/ y t) z x)
47.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
34.0ms
(/ (fma (/ y t) z x) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

series802.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(cbrt t)
44.0ms
(fma (/ y t) z x)
59.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
509.0ms
(/ (fma (/ y t) z x) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

simplify84.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
06701404
131471221
250011177

prune759.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 10.0b

localize29.0ms

Local error

Found 4 expressions with local error:

7.9b
(cbrt (fma (/ y t) z x))
11.3b
(cbrt (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))
11.3b
(cbrt (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))
11.3b
(cbrt (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-div
18×frac-add
12×cbrt-prod flip3-+ flip-+
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×frac-times associate-*r/ associate-*l/
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 76
Calls
4 calls:
1.0ms
(cbrt (fma (/ y t) z x))
16.0ms
(cbrt (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))
18.0ms
(cbrt (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))
17.0ms
(cbrt (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

series773.0ms

Counts
4 → 12
Calls
4 calls:
163.0ms
(cbrt (fma (/ y t) z x))
203.0ms
(cbrt (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))
202.0ms
(cbrt (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))
204.0ms
(cbrt (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

simplify52.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04021478
113001396
250011372

prune591.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 10.0b

regimes477.0ms

Accuracy

-26.3% (7.1b remaining)

Error of 17.0b against oracle of 9.9b and baseline of 15.6b

bsearch94.0ms

Steps
ItersRangePoint
6
1.7085837927242665e-278
1.5903256119035728e-277
6.968434408856251e-278
5
-3.473536930938237e-152
-1.211691090602412e-152
-1.604748353162188e-152

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06377
16377

end0.0ms

sample742.0ms

Algorithm
intervals
Results
333.0ms8260×body80valid