Details

Time bar (total: 5.1s)

sample24.0ms

Algorithm
intervals
Results
10.0ms261×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0268
1398
2478
3498
4498

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ a 1.0) (/ (* y b) t))
4.4b
(/ (* y b) t)
5.1b
(/ (* y z) t)
11.4b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
61×*-un-lft-identity
26×times-frac
24×distribute-lft-out
19×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 frac-add associate-/r/
3×frac-2neg clear-num sum-log div-inv
2×prod-exp cbrt-unprod associate-/l/
1×+-commutative associate-+l+
Counts
4 → 106
Calls
4 calls:
8.0ms
(+ (+ a 1.0) (/ (* y b) t))
4.0ms
(/ (* y b) t)
4.0ms
(/ (* y z) t)
16.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series158.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(+ (+ a 1.0) (/ (* y b) t))
18.0ms
(/ (* y b) t)
17.0ms
(/ (* y z) t)
96.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify60.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0469909
12102841
25001841

prune334.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 10.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
4.8b
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
5.1b
(/ (* y z) t)
11.4b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

rewrite39.0ms

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×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 → 132
Calls
4 calls:
1.0ms
(cbrt t)
14.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
4.0ms
(/ (* y z) t)
12.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

series376.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt t)
50.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
16.0ms
(/ (* y z) t)
125.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

simplify94.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
07851567
139741374
250011332

prune526.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 9.4b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
4.8b
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
5.2b
(* y (/ z t))
11.4b
(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
57×add-sqr-sqrt
47×times-frac
36×add-cube-cbrt *-un-lft-identity
35×associate-*r*
32×add-exp-log
25×add-cbrt-cube
14×cbrt-prod
10×associate-*l* prod-exp cbrt-unprod
9×cbrt-undiv div-exp
8×pow1 associate-/r/ unswap-sqr
6×frac-add
5×flip3-+ flip-+
4×associate-*r/ div-inv add-log-exp
3×frac-times associate-*l/ associate-/r* associate-/l*
2×pow-prod-down *-commutative associate-/l/
1×frac-2neg pow1/3 clear-num
Counts
4 → 139
Calls
4 calls:
1.0ms
(cbrt t)
14.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
10.0ms
(* y (/ z t))
9.0ms
(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

series387.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(cbrt t)
53.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
17.0ms
(* y (/ z t))
131.0ms
(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

simplify119.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 2 (99.0ms)

IterNodesCost
08351528
143351333
250031292

prune525.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 9.4b

localize20.0ms

Local error

Found 4 expressions with local error:

11.4b
(/ (+ x (* (* (cbrt (* y (/ z t))) (cbrt (* y (/ z t)))) (cbrt (* y (/ z t))))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))
17.4b
(cbrt (* y (/ z t)))
17.4b
(cbrt (* y (/ z t)))
17.4b
(cbrt (* y (/ z t)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
8×associate-/r/
6×add-exp-log frac-add add-cbrt-cube
5×flip3-+ associate-*r/ flip-+
4×pow1 add-log-exp
3×cbrt-prod cbrt-div pow1/3 associate-/r* associate-/l*
2×frac-times associate-*l/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 67
Calls
4 calls:
9.0ms
(/ (+ x (* (* (cbrt (* y (/ z t))) (cbrt (* y (/ z t)))) (cbrt (* y (/ z t))))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))
4.0ms
(cbrt (* y (/ z t)))
4.0ms
(cbrt (* y (/ z t)))
4.0ms
(cbrt (* y (/ z t)))

series418.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(/ (+ x (* (* (cbrt (* y (/ z t))) (cbrt (* y (/ z t)))) (cbrt (* y (/ z t))))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))
79.0ms
(cbrt (* y (/ z t)))
98.0ms
(cbrt (* y (/ z t)))
78.0ms
(cbrt (* y (/ z t)))

simplify48.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
03991452
114201331
250021315

prune349.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 9.4b

regimes819.0ms

Accuracy

57.3% (2.4b remaining)

Error of 12.5b against oracle of 10.1b and baseline of 15.8b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072103
172103

end0.0ms

sample636.0ms

Algorithm
intervals
Results
352.0ms8283×body80valid