Details

Time bar (total: 3.8s)

sample24.0ms

Algorithm
intervals
Results
11.0ms266×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0268
1398
2478
3498
4498

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ a 1.0) (/ (* y b) t))
4.3b
(/ (* y z) t)
4.7b
(/ (* y b) t)
8.6b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite33.0ms

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:
7.0ms
(+ (+ a 1.0) (/ (* y b) t))
4.0ms
(/ (* y z) t)
4.0ms
(/ (* y b) t)
14.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series160.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(+ (+ a 1.0) (/ (* y b) t))
17.0ms
(/ (* y z) t)
18.0ms
(/ (* y b) t)
94.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify49.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0469909
12102841
25001841

prune300.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.7b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ a 1.0) (/ (* y b) t))
4.4b
(* (* y z) (/ 1 t))
4.7b
(/ (* y b) t)
8.6b
(/ (+ x (* (* y z) (/ 1 t))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
48×*-un-lft-identity
33×add-exp-log
27×times-frac
23×add-sqr-sqrt add-cube-cbrt add-cbrt-cube
15×distribute-lft-out
13×associate-*r* prod-exp
9×pow1 add-log-exp
8×associate-/r*
7×div-exp cbrt-unprod
5×cbrt-undiv flip3-+ flip-+
4×frac-add associate-/r/ associate-/l*
3×pow-prod-down sum-log div-inv
2×rec-exp frac-2neg 1-exp clear-num associate-/l/
1×+-commutative associate-+l+ associate-*r/ associate-*l* un-div-inv *-commutative
Counts
4 → 117
Calls
4 calls:
7.0ms
(+ (+ a 1.0) (/ (* y b) t))
8.0ms
(* (* y z) (/ 1 t))
4.0ms
(/ (* y b) t)
11.0ms
(/ (+ x (* (* y z) (/ 1 t))) (+ (+ a 1.0) (/ (* y b) t)))

series156.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(+ (+ a 1.0) (/ (* y b) t))
17.0ms
(* (* y z) (/ 1 t))
19.0ms
(/ (* y b) t)
93.0ms
(/ (+ x (* (* y z) (/ 1 t))) (+ (+ a 1.0) (/ (* y b) t)))

simplify66.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0607997
12965888
25002868

prune361.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 7.7b

localize13.0ms

Local error

Found 4 expressions with local error:

0.8b
(/ 1 (+ (+ a 1.0) (/ (* y b) t)))
4.3b
(/ (* y z) t)
4.7b
(/ (* y b) t)
8.0b
(* (+ x (/ (* y z) t)) (/ 1 (+ (+ a 1.0) (/ (* y b) t))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
66×*-un-lft-identity
38×times-frac
35×add-sqr-sqrt
28×add-cube-cbrt
27×add-exp-log
23×associate-*r*
22×distribute-lft-out
21×add-cbrt-cube
11×associate-/r*
8×div-exp associate-/r/
7×pow1
6×cbrt-undiv flip3-+ prod-exp flip-+
5×associate-/l*
4×associate-*l* frac-add cbrt-unprod div-inv add-log-exp
3×frac-2neg clear-num unswap-sqr
2×frac-times rec-exp 1-exp associate-*l/
1×pow-flip associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
4 → 136
Calls
4 calls:
9.0ms
(/ 1 (+ (+ a 1.0) (/ (* y b) t)))
4.0ms
(/ (* y z) t)
4.0ms
(/ (* y b) t)
19.0ms
(* (+ x (/ (* y z) t)) (/ 1 (+ (+ a 1.0) (/ (* y b) t))))

series190.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(/ 1 (+ (+ a 1.0) (/ (* y b) t)))
17.0ms
(/ (* y z) t)
23.0ms
(/ (* y b) t)
97.0ms
(* (+ x (/ (* y z) t)) (/ 1 (+ (+ a 1.0) (/ (* y b) t))))

simplify69.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05751089
12852965
25001923

prune418.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 7.7b

localize16.0ms

Local error

Found 4 expressions with local error:

1.9b
(* (/ (* y z) (* (cbrt t) (cbrt t))) (/ 1 (cbrt t)))
2.6b
(/ (* y z) (* (cbrt t) (cbrt t)))
4.7b
(/ (* y b) t)
8.6b
(/ (+ x (* (/ (* y z) (* (cbrt t) (cbrt t))) (/ 1 (cbrt t)))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
100×add-exp-log
52×*-un-lft-identity
47×add-cbrt-cube
42×add-sqr-sqrt times-frac
41×prod-exp
33×div-exp
30×add-cube-cbrt
23×cbrt-unprod
22×associate-*r*
20×cbrt-undiv
12×distribute-lft-out
11×cbrt-prod
9×associate-/r*
6×pow1
5×rec-exp 1-exp associate-*l* div-inv associate-/l* unswap-sqr
4×associate-/r/ add-log-exp
3×frac-2neg flip3-+ clear-num flip-+
2×frac-add associate-/l/
1×frac-times associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative
Counts
4 → 158
Calls
4 calls:
20.0ms
(* (/ (* y z) (* (cbrt t) (cbrt t))) (/ 1 (cbrt t)))
7.0ms
(/ (* y z) (* (cbrt t) (cbrt t)))
4.0ms
(/ (* y b) t)
12.0ms
(/ (+ x (* (/ (* y z) (* (cbrt t) (cbrt t))) (/ 1 (cbrt t)))) (+ (+ a 1.0) (/ (* y b) t)))

series298.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* (/ (* y z) (* (cbrt t) (cbrt t))) (/ 1 (cbrt t)))
118.0ms
(/ (* y z) (* (cbrt t) (cbrt t)))
18.0ms
(/ (* y b) t)
122.0ms
(/ (+ x (* (/ (* y z) (* (cbrt t) (cbrt t))) (/ 1 (cbrt t)))) (+ (+ a 1.0) (/ (* y b) t)))

simplify129.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 2 (107.0ms)

IterNodesCost
08871993
147881689
250011647

prune476.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 7.7b

regimes283.0ms

Accuracy

0% (5.7b remaining)

Error of 16.0b against oracle of 10.4b and baseline of 16.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0259
1259

end0.0ms

sample623.0ms

Algorithm
intervals
Results
346.0ms8312×body80valid