Details

Time bar (total: 4.5s)

sample29.0ms

Algorithm
intervals
Results
14.0ms259×body80valid

simplify20.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0268
1398
2518
3618
4658
5658

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.6b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ a 1.0) (/ (* y b) t))
5.4b
(/ (* y b) t)
5.9b
(/ (* y z) t)
14.4b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite64.0ms

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:
20.0ms
(+ (+ a 1.0) (/ (* y b) t))
3.0ms
(/ (* y b) t)
3.0ms
(/ (* y z) t)
33.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series200.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ (+ a 1.0) (/ (* y b) t))
24.0ms
(/ (* y b) t)
21.0ms
(/ (* y z) t)
120.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify75.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0488947
12162873
25003850

prune428.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 15.3b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (fma (/ y t) b (+ a 1.0)))
2.6b
(fma (/ y t) b (+ a 1.0))
5.9b
(/ (* y z) t)
14.3b
(* (+ x (/ (* y z) t)) (/ 1 (fma (/ y t) b (+ a 1.0))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
25×*-un-lft-identity
23×times-frac
22×add-exp-log add-cube-cbrt
16×add-cbrt-cube
13×associate-*r*
7×pow1
6×div-exp associate-/r*
5×prod-exp
4×cbrt-undiv expm1-log1p-u associate-*l* log1p-expm1-u associate-/l* add-log-exp
3×cbrt-unprod div-inv unswap-sqr
2×frac-times rec-exp frac-2neg flip3-+ 1-exp associate-*l/ clear-num flip-+
1×pow-flip associate-*r/ pow-prod-down un-div-inv *-commutative fma-udef distribute-lft-out inv-pow
Counts
4 → 109
Calls
4 calls:
2.0ms
(/ 1 (fma (/ y t) b (+ a 1.0)))
0.0ms
(fma (/ y t) b (+ a 1.0))
3.0ms
(/ (* y z) t)
21.0ms
(* (+ x (/ (* y z) t)) (/ 1 (fma (/ y t) b (+ a 1.0))))

series299.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(/ 1 (fma (/ y t) b (+ a 1.0)))
41.0ms
(fma (/ y t) b (+ a 1.0))
22.0ms
(/ (* y z) t)
101.0ms
(* (+ x (/ (* y z) t)) (/ 1 (fma (/ y t) b (+ a 1.0))))

simplify71.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0391851
11864745
25002696

prune397.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 13.8b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (fma (/ y t) b (+ a 1.0)))
2.6b
(fma (/ y t) b (+ a 1.0))
5.1b
(* y (/ z t))
14.3b
(* (+ x (* y (/ z t))) (/ 1 (fma (/ y t) b (+ a 1.0))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
30×times-frac
29×*-un-lft-identity
28×add-cube-cbrt
26×associate-*r*
22×add-exp-log
16×add-cbrt-cube
9×pow1
6×associate-*l* prod-exp
5×div-exp unswap-sqr
4×expm1-log1p-u cbrt-unprod log1p-expm1-u add-log-exp
3×cbrt-undiv associate-/r* div-inv associate-/l*
2×frac-times rec-exp flip3-+ 1-exp associate-*r/ pow-prod-down associate-*l/ *-commutative flip-+
1×pow-flip frac-2neg clear-num un-div-inv fma-udef inv-pow
Counts
4 → 119
Calls
4 calls:
2.0ms
(/ 1 (fma (/ y t) b (+ a 1.0)))
0.0ms
(fma (/ y t) b (+ a 1.0))
8.0ms
(* y (/ z t))
13.0ms
(* (+ x (* y (/ z t))) (/ 1 (fma (/ y t) b (+ a 1.0))))

series302.0ms

Counts
4 → 12
Calls
4 calls:
134.0ms
(/ 1 (fma (/ y t) b (+ a 1.0)))
42.0ms
(fma (/ y t) b (+ a 1.0))
26.0ms
(* y (/ z t))
101.0ms
(* (+ x (* y (/ z t))) (/ 1 (fma (/ y t) b (+ a 1.0))))

simplify75.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
0444892
12075764
25001733

prune423.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 13.8b

localize15.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ 1 (/ t (* y z)))
5.4b
(/ (* y b) t)
5.9b
(/ t (* y z))
14.4b
(/ (+ x (/ 1 (/ t (* y z)))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
84×*-un-lft-identity
64×times-frac
37×add-exp-log
36×add-sqr-sqrt add-cube-cbrt
30×distribute-lft-out
25×add-cbrt-cube
17×div-exp
16×associate-/r*
14×div-inv
12×associate-/l*
10×cbrt-undiv
5×pow1 prod-exp associate-/r/
4×expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
3×rec-exp flip3-+ 1-exp cbrt-unprod flip-+
2×frac-add associate-/l/
1×pow-flip inv-pow
Counts
4 → 159
Calls
4 calls:
6.0ms
(/ 1 (/ t (* y z)))
3.0ms
(/ (* y b) t)
3.0ms
(/ t (* y z))
58.0ms
(/ (+ x (/ 1 (/ t (* y z)))) (+ (+ a 1.0) (/ (* y b) t)))

series225.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ 1 (/ t (* y z)))
23.0ms
(/ (* y b) t)
26.0ms
(/ t (* y z))
151.0ms
(/ (+ x (/ 1 (/ t (* y z)))) (+ (+ a 1.0) (/ (* y b) t)))

simplify91.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
06001269
127531130
250011067

prune419.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 13.8b

regimes382.0ms

Accuracy

60.5% (2.0b remaining)

Error of 12.9b against oracle of 10.9b and baseline of 16.0b

bsearch146.0ms

Steps
ItersRangePoint
8
1.9913025383122273e+93
1.7645070109137184e+96
2.0111491653402853e+93
9
-3.226238964130216e-27
-2.7569551218664845e-36
-2.036453930935145e-27

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04317
14317

end0.0ms

sample681.0ms

Algorithm
intervals
Results
384.0ms8274×body80valid