Details

Time bar (total: 5.0s)

sample42.0ms

Algorithm
intervals
Results
26.0ms265×body80valid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0268
1398
2518
3618
4658
5658

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.8b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (* y z) t))
4.0b
(/ (* y z) t)
6.7b
(/ (* y b) t)
10.4b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
59×*-un-lft-identity
26×times-frac
22×distribute-lft-out
20×add-sqr-sqrt add-cube-cbrt
16×add-exp-log add-cbrt-cube
11×associate-/r*
6×associate-/l* add-log-exp
5×cbrt-undiv div-exp
4×pow1 expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u
3×fma-def frac-2neg clear-num div-inv
2×frac-add prod-exp cbrt-unprod associate-/l/
1×+-commutative sum-log
Counts
4 → 112
Calls
4 calls:
4.0ms
(+ x (/ (* y z) t))
7.0ms
(/ (* y z) t)
3.0ms
(/ (* y b) t)
34.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series180.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(+ x (/ (* y z) t))
19.0ms
(/ (* y z) t)
21.0ms
(/ (* y b) t)
111.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify64.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0472881
12005817
25001797

prune394.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 10.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (* y z) t))
2.5b
(* y (/ b t))
4.0b
(/ (* y z) t)
10.4b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* y (/ b t))))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
29×add-sqr-sqrt
25×times-frac
24×add-cube-cbrt
16×add-exp-log add-cbrt-cube
13×associate-*r*
6×pow1 associate-/r* add-log-exp
5×distribute-lft-out associate-/l*
4×cbrt-undiv expm1-log1p-u flip3-+ div-exp associate-/r/ flip-+ log1p-expm1-u
3×fma-def associate-*r/ associate-*l* prod-exp cbrt-unprod div-inv
2×frac-2neg frac-add clear-num associate-/l/ unswap-sqr
1×+-commutative pow-prod-down sum-log *-commutative
Counts
4 → 113
Calls
4 calls:
5.0ms
(+ x (/ (* y z) t))
7.0ms
(* y (/ b t))
3.0ms
(/ (* y z) t)
34.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* y (/ b t))))

series186.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ x (/ (* y z) t))
21.0ms
(* y (/ b t))
20.0ms
(/ (* y z) t)
110.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* y (/ b t))))

simplify70.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0537829
12328758
25001740

prune429.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 9.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* (* y z) (/ 1 t)))
2.5b
(* y (/ b t))
4.1b
(* (* y z) (/ 1 t))
10.4b
(/ (+ x (* (* y z) (/ 1 t))) (+ (+ a 1.0) (* y (/ b t))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
33×add-exp-log add-sqr-sqrt
28×add-cube-cbrt *-un-lft-identity times-frac
26×associate-*r*
23×add-cbrt-cube
14×prod-exp
11×pow1
8×cbrt-unprod
6×div-exp add-log-exp
4×cbrt-undiv expm1-log1p-u flip3-+ associate-*r/ associate-*l* pow-prod-down associate-/r/ flip-+ log1p-expm1-u
3×fma-def associate-/r* div-inv associate-/l*
2×rec-exp 1-exp frac-add *-commutative associate-/l/ unswap-sqr
1×+-commutative frac-2neg clear-num sum-log un-div-inv
Counts
4 → 125
Calls
4 calls:
2.0ms
(+ x (* (* y z) (/ 1 t)))
8.0ms
(* y (/ b t))
11.0ms
(* (* y z) (/ 1 t))
23.0ms
(/ (+ x (* (* y z) (/ 1 t))) (+ (+ a 1.0) (* y (/ b t))))

series419.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(+ x (* (* y z) (/ 1 t)))
21.0ms
(* y (/ b t))
259.0ms
(* (* y z) (/ 1 t))
109.0ms
(/ (+ x (* (* y z) (/ 1 t))) (+ (+ a 1.0) (* y (/ b t))))

simplify95.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
0663939
13135823
25001786

prune437.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 8.8b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (+ (+ a 1.0) (* y (/ b t))))
2.5b
(* y (/ b t))
4.1b
(* (* y z) (/ 1 t))
10.4b
(* (+ x (* (* y z) (/ 1 t))) (/ 1 (+ (+ a 1.0) (* y (/ b t)))))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
44×add-exp-log
43×associate-*r*
39×times-frac
36×*-un-lft-identity
35×add-cube-cbrt
28×add-cbrt-cube
18×prod-exp
14×pow1
10×cbrt-unprod
9×div-exp
8×associate-/r/
7×associate-*r/ associate-*l*
6×flip3-+ flip-+
5×cbrt-undiv pow-prod-down unswap-sqr
4×expm1-log1p-u rec-exp 1-exp frac-add log1p-expm1-u div-inv add-log-exp
3×associate-/r* *-commutative associate-/l*
2×frac-times associate-*l/ un-div-inv
1×pow-flip frac-2neg clear-num inv-pow
Counts
4 → 157
Calls
4 calls:
22.0ms
(/ 1 (+ (+ a 1.0) (* y (/ b t))))
7.0ms
(* y (/ b t))
11.0ms
(* (* y z) (/ 1 t))
45.0ms
(* (+ x (* (* y z) (/ 1 t))) (/ 1 (+ (+ a 1.0) (* y (/ b t)))))

series209.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(/ 1 (+ (+ a 1.0) (* y (/ b t))))
21.0ms
(* y (/ b t))
19.0ms
(* (* y z) (/ 1 t))
109.0ms
(* (+ x (* (* y z) (/ 1 t))) (/ 1 (+ (+ a 1.0) (* y (/ b t)))))

simplify114.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (100.0ms)

IterNodesCost
07731244
139771047
25001988

prune496.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 8.8b

regimes347.0ms

Accuracy

65.8% (2.5b remaining)

Error of 12.8b against oracle of 10.3b and baseline of 17.6b

bsearch137.0ms

Steps
ItersRangePoint
8
1.2970486041337018e-11
2.2698285208946172e-07
1.1753467575578047e-10
8
-2.262977905432919e+29
-4.5716658752056174e+24
-1.4387487013439223e+28

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04518
14718
24718

end0.0ms

sample1.1s

Algorithm
intervals
Results
763.0ms8304×body80valid