Details

Time bar (total: 9.4s)

sample40.0ms

Algorithm
intervals
Results
25.0ms271×body80valid

simplify128.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0248
1438
2758
31208
41568
51898
62658
74518
810238
936328
1050018

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (* z (- b y)))
0.0b
(* z (- t a))
0.5b
(+ (* x y) (* z (- t a)))
26.3b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt
54×prod-diff
53×*-un-lft-identity
51×add-cube-cbrt
44×associate-+r+
33×distribute-rgt-in distribute-lft-in
9×times-frac
8×add-exp-log add-cbrt-cube add-log-exp
6×pow1 sub-neg
5×associate-*r*
4×expm1-log1p-u fma-def flip3-+ flip-+ log1p-expm1-u
3×associate-*l* associate-/r* associate-/l*
2×+-commutative associate-*r/ sum-log associate-/r/ associate-/l/
1×cbrt-undiv flip3-- frac-2neg div-exp pow-prod-down prod-exp clear-num *-commutative flip-- cbrt-unprod div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 153
Calls
4 calls:
6.0ms
(+ y (* z (- b y)))
12.0ms
(* z (- t a))
6.0ms
(+ (* x y) (* z (- t a)))
12.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series459.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(+ y (* z (- b y)))
42.0ms
(* z (- t a))
44.0ms
(+ (* x y) (* z (- t a)))
341.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify77.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
06081288
12360956
25001942

prune514.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 26.4b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- t a))
0.5b
(+ (* x y) (* z (- t a)))
0.9b
(/ 1 (fma (- b y) z y))
25.6b
(* (+ (* x y) (* z (- t a))) (/ 1 (fma (- b y) z y)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
57×add-sqr-sqrt
49×*-un-lft-identity
46×add-cube-cbrt
36×prod-diff
22×distribute-rgt-in associate-+r+ distribute-lft-in
20×times-frac
19×add-exp-log
18×associate-*r*
13×add-cbrt-cube
9×pow1
6×associate-*l* add-log-exp
5×prod-exp
4×expm1-log1p-u sub-neg div-exp log1p-expm1-u unswap-sqr
3×flip3-+ associate-*r/ associate-/r* cbrt-unprod flip-+ associate-/l*
2×cbrt-undiv frac-times rec-exp 1-exp pow-prod-down associate-*l/ *-commutative div-inv
1×+-commutative flip3-- pow-flip fma-def frac-2neg clear-num sum-log un-div-inv flip-- distribute-lft-out-- inv-pow difference-of-squares
Counts
4 → 157
Calls
4 calls:
12.0ms
(* z (- t a))
6.0ms
(+ (* x y) (* z (- t a)))
2.0ms
(/ 1 (fma (- b y) z y))
19.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (fma (- b y) z y)))

series524.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* z (- t a))
43.0ms
(+ (* x y) (* z (- t a)))
103.0ms
(/ 1 (fma (- b y) z y))
340.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (fma (- b y) z y)))

simplify75.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05331248
12155961
25001930

prune458.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 26.4b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
0.5b
(cbrt t)
0.5b
(cbrt t)
26.3b
(/ (+ (* x y) (+ (* z (fma (* (cbrt t) (cbrt t)) (cbrt t) (- (* a 1)))) (* z (fma (- a) 1 a)))) (+ y (* z (- b y))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod times-frac
6×add-exp-log add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-/r* associate-/l*
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 72
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
30.0ms
(/ (+ (* x y) (+ (* z (fma (* (cbrt t) (cbrt t)) (cbrt t) (- (* a 1)))) (* z (fma (- a) 1 a)))) (+ y (* z (- b y))))

series1.9s

Counts
4 → 12
Calls
4 calls:
191.0ms
(cbrt t)
197.0ms
(cbrt t)
189.0ms
(cbrt t)
1.3s
(/ (+ (* x y) (+ (* z (fma (* (cbrt t) (cbrt t)) (cbrt t) (- (* a 1)))) (* z (fma (- a) 1 a)))) (+ y (* z (- b y))))

simplify46.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
02721027
11055931
25001907

prune659.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 26.4b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt t))
0.6b
(cbrt (cbrt t))
0.6b
(cbrt (cbrt t))
26.3b
(/ (+ (* x y) (+ (* z (fma (* (cbrt t) (cbrt t)) (* (* (cbrt (cbrt t)) (cbrt (cbrt t))) (cbrt (cbrt t))) (- (* a 1)))) (* z (fma (- a) 1 a)))) (+ y (* z (- b y))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
27×cbrt-prod
18×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-/r* associate-/l*
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 81
Calls
4 calls:
1.0ms
(cbrt (cbrt t))
1.0ms
(cbrt (cbrt t))
1.0ms
(cbrt (cbrt t))
26.0ms
(/ (+ (* x y) (+ (* z (fma (* (cbrt t) (cbrt t)) (* (* (cbrt (cbrt t)) (cbrt (cbrt t))) (cbrt (cbrt t))) (- (* a 1)))) (* z (fma (- a) 1 a)))) (+ y (* z (- b y))))

series2.1s

Counts
4 → 12
Calls
4 calls:
258.0ms
(cbrt (cbrt t))
258.0ms
(cbrt (cbrt t))
266.0ms
(cbrt (cbrt t))
1.3s
(/ (+ (* x y) (+ (* z (fma (* (cbrt t) (cbrt t)) (* (* (cbrt (cbrt t)) (cbrt (cbrt t))) (cbrt (cbrt t))) (- (* a 1)))) (* z (fma (- a) 1 a)))) (+ y (* z (- b y))))

simplify51.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
02861467
110641346
250011312

prune546.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 26.4b

regimes498.0ms

Accuracy

0% (0.7b remaining)

Error of 23.3b against oracle of 22.6b and baseline of 23.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0218
1218

end0.0ms

sample1.0s

Algorithm
intervals
Results
722.0ms8422×body80valid