Details

Time bar (total: 6.0s)

sample29.0ms

Algorithm
intervals
Results
14.0ms266×body80valid

simplify12.0ms

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: 18.8b

localize12.0ms

Local error

Found 3 expressions with local error:

5.1b
(/ (* y b) t)
6.7b
(/ (* y z) t)
14.3b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
55×*-un-lft-identity
26×times-frac
21×distribute-lft-out
18×add-sqr-sqrt add-cube-cbrt
15×add-exp-log add-cbrt-cube
11×associate-/r*
6×associate-/l*
5×cbrt-undiv div-exp
4×associate-/r/
3×pow1 expm1-log1p-u frac-2neg flip3-+ clear-num flip-+ log1p-expm1-u div-inv add-log-exp
2×frac-add prod-exp cbrt-unprod associate-/l/
Counts
3 → 95
Calls
3 calls:
4.0ms
(/ (* y b) t)
4.0ms
(/ (* y z) t)
14.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series146.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ (* y b) t)
19.0ms
(/ (* y z) t)
103.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify52.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0447799
11949738
25002723

prune311.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 13.8b

localize12.0ms

Local error

Found 3 expressions with local error:

2.0b
(fma (/ y t) z x)
5.1b
(/ (* y b) t)
14.3b
(/ (fma (/ y t) z x) (+ (+ a 1.0) (/ (* y b) t)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
18×times-frac
15×add-sqr-sqrt add-cube-cbrt
12×distribute-lft-out
10×add-exp-log add-cbrt-cube
8×associate-/r*
4×associate-/r/ associate-/l*
3×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
2×frac-2neg flip3-+ frac-add clear-num flip-+ div-inv
1×prod-exp cbrt-unprod fma-udef
Counts
3 → 74
Calls
3 calls:
1.0ms
(fma (/ y t) z x)
4.0ms
(/ (* y b) t)
9.0ms
(/ (fma (/ y t) z x) (+ (+ a 1.0) (/ (* y b) t)))

series511.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(fma (/ y t) z x)
20.0ms
(/ (* y b) t)
445.0ms
(/ (fma (/ y t) z x) (+ (+ a 1.0) (/ (* y b) t)))

simplify41.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0319601
11203554
25001549

prune263.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 12.8b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt t) (cbrt t))
2.0b
(fma (/ y t) z x)
3.1b
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
14.3b
(/ (fma (/ y t) z x) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
59×add-sqr-sqrt
37×times-frac
35×add-cube-cbrt *-un-lft-identity
29×add-exp-log
28×associate-*r*
27×cbrt-prod
20×add-cbrt-cube
13×pow1 associate-*l*
10×unswap-sqr
9×prod-exp cbrt-unprod
8×cbrt-undiv div-exp associate-/r/
6×pow1/3 swap-sqr frac-add
4×expm1-log1p-u flip3-+ flip-+ log1p-expm1-u add-log-exp
3×frac-times associate-*r/ pow-prod-down associate-*l/ associate-/r* div-inv associate-/l*
2×pow-sqr *-commutative pow-prod-up
1×pow2 frac-2neg pow-plus clear-num fma-udef
Counts
4 → 150
Calls
4 calls:
6.0ms
(* (cbrt t) (cbrt t))
1.0ms
(fma (/ y t) z x)
16.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
11.0ms
(/ (fma (/ y t) z x) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

series812.0ms

Counts
4 → 12
Calls
4 calls:
219.0ms
(* (cbrt t) (cbrt t))
40.0ms
(fma (/ y t) z x)
57.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
496.0ms
(/ (fma (/ y t) z x) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

simplify107.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
07161550
135921392
250011328

prune594.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 12.8b

localize16.0ms

Local error

Found 4 expressions with local error:

1.5b
(/ (* (/ y (cbrt t)) (/ b (cbrt t))) (cbrt t))
2.0b
(fma (/ y t) z x)
3.3b
(* (/ y (cbrt t)) (/ b (cbrt t)))
14.3b
(/ (fma (/ y t) z x) (+ (+ a 1.0) (/ (* (/ y (cbrt t)) (/ b (cbrt t))) (cbrt t))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
74×add-sqr-sqrt
69×times-frac
64×*-un-lft-identity
44×add-cube-cbrt
36×add-exp-log
30×cbrt-prod
23×add-cbrt-cube
22×associate-*r* associate-*l*
14×cbrt-undiv div-exp
12×distribute-lft-out
11×associate-/r*
9×unswap-sqr
8×prod-exp cbrt-unprod
6×pow1
4×expm1-log1p-u associate-/r/ log1p-expm1-u div-inv associate-/l* add-log-exp
3×associate-/l/
2×frac-times frac-2neg flip3-+ associate-*r/ associate-*l/ frac-add clear-num flip-+
1×pow-prod-down *-commutative fma-udef
Counts
4 → 164
Calls
4 calls:
12.0ms
(/ (* (/ y (cbrt t)) (/ b (cbrt t))) (cbrt t))
1.0ms
(fma (/ y t) z x)
18.0ms
(* (/ y (cbrt t)) (/ b (cbrt t)))
10.0ms
(/ (fma (/ y t) z x) (+ (+ a 1.0) (/ (* (/ y (cbrt t)) (/ b (cbrt t))) (cbrt t))))

series767.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(/ (* (/ y (cbrt t)) (/ b (cbrt t))) (cbrt t))
46.0ms
(fma (/ y t) z x)
167.0ms
(* (/ y (cbrt t)) (/ b (cbrt t)))
502.0ms
(/ (fma (/ y t) z x) (+ (+ a 1.0) (/ (* (/ y (cbrt t)) (/ b (cbrt t))) (cbrt t))))

simplify91.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
07471727
131141600
250011572

prune819.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 12.8b

regimes390.0ms

Accuracy

25.8% (3.6b remaining)

Error of 14.4b against oracle of 10.8b and baseline of 15.6b

bsearch153.0ms

Steps
ItersRangePoint
10
-2.939268439876032e-264
-8.257606528194494e-277
-9.53108059989476e-269
10
-0.10056659940419897
-1.3848800864570885e-12
-2.3394468926366395e-06

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04828
14828

end0.0ms

sample672.0ms

Algorithm
intervals
Results
379.0ms8274×body80valid