Details

Time bar (total: 7.1s)

sample72.0ms

Algorithm
intervals
Results
22.0ms270×body80nan
18.0ms256×body80valid

simplify38.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
05017
110817
238917
3176117
4500217

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.5b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b
(* z (sqrt (+ t a)))
0.5b
(/ 2.0 (* t 3.0))
3.1b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
4.1b
(/ (* z (sqrt (+ t a))) t)

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
75×*-un-lft-identity
63×prod-diff
62×associate--r+
49×add-sqr-sqrt
45×add-cube-cbrt
36×times-frac
31×distribute-rgt-in distribute-lft-in
20×frac-sub
16×add-exp-log add-cbrt-cube
15×distribute-lft-out
12×div-inv
9×flip3-- flip--
8×frac-times associate-*r/
7×fma-neg associate-*r*
6×pow1 add-log-exp
5×flip3-+ sqrt-prod flip-+
4×cbrt-undiv expm1-log1p-u sqrt-div div-exp associate-/r* log1p-expm1-u associate-/l*
3×sub-neg associate-*l* prod-exp cbrt-unprod
2×frac-2neg associate-*l/ associate--l+ clear-num associate-/l/ unswap-sqr
1×diff-log pow-prod-down *-commutative
Counts
4 → 179
Calls
4 calls:
11.0ms
(* z (sqrt (+ t a)))
3.0ms
(/ 2.0 (* t 3.0))
39.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
6.0ms
(/ (* z (sqrt (+ t a))) t)

series342.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(* z (sqrt (+ t a)))
16.0ms
(/ 2.0 (* t 3.0))
180.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
81.0ms
(/ (* z (sqrt (+ t a))) t)

simplify54.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
013772637
150012324

prune922.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
0.3b
(* z (sqrt (+ t a)))
0.5b
(/ 2.0 (* t 3.0))
4.1b
(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

rewrite150.0ms

Algorithm
rewrite-expression-head
Rules
78×*-un-lft-identity
56×prod-diff
51×add-sqr-sqrt
41×add-cube-cbrt
31×distribute-rgt-in distribute-lft-in
27×times-frac
16×distribute-lft-out
13×add-exp-log associate-*r* add-cbrt-cube
9×div-inv
8×pow1 frac-times flip3-- associate-*l* flip--
6×associate-*r/ frac-sub
5×sqrt-prod
4×expm1-log1p-u flip3-+ flip-+ log1p-expm1-u add-log-exp
3×prod-exp cbrt-unprod associate-/l* distribute-lft-out-- unswap-sqr
2×cbrt-undiv sub-neg sqrt-div div-exp pow-prod-down associate-*l/ associate--l+ *-commutative difference-of-squares
1×frac-2neg clear-num associate-/r* fma-udef
Counts
4 → 161
Calls
4 calls:
128.0ms
(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
11.0ms
(* z (sqrt (+ t a)))
3.0ms
(/ 2.0 (* t 3.0))
0.0ms
(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

series331.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
63.0ms
(* z (sqrt (+ t a)))
15.0ms
(/ 2.0 (* t 3.0))
197.0ms
(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

simplify112.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
09002516
142251991
250011986

prune644.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b
(* z (sqrt (+ t a)))
0.5b
(/ 2.0 (* t 3.0))
4.1b
(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3))))))
40.5b
(cbrt (pow (/ 2.0 (* t 3.0)) 3))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
18×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
11×add-exp-log add-cbrt-cube
9×times-frac
7×unpow-prod-down cube-prod associate-*r*
6×pow1
5×sqrt-prod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*l* div-inv associate-/l*
2×cbrt-undiv sqrt-div associate-*r/ div-exp prod-exp cbrt-unprod unswap-sqr
1×cube-div cube-mult cbrt-div frac-2neg flip3-+ pow1/3 unpow3 pow-prod-down clear-num associate-/r* *-commutative rem-cbrt-cube flip-+ fma-udef distribute-lft-out sqr-pow
Counts
4 → 92
Calls
4 calls:
14.0ms
(* z (sqrt (+ t a)))
3.0ms
(/ 2.0 (* t 3.0))
0.0ms
(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3))))))
3.0ms
(cbrt (pow (/ 2.0 (* t 3.0)) 3))

series292.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* z (sqrt (+ t a)))
16.0ms
(/ 2.0 (* t 3.0))
194.0ms
(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3))))))
17.0ms
(cbrt (pow (/ 2.0 (* t 3.0)) 3))

simplify57.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0512592
12106535
25002528

prune501.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b
(* z (sqrt (+ t a)))
0.5b
(/ 2.0 (* t 3.0))
3.4b
(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (pow (pow (/ 2.0 (* t 3.0)) 3) 1/3)))))
40.5b
(pow (pow (/ 2.0 (* t 3.0)) 3) 1/3)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
27×unpow-prod-down
19×add-sqr-sqrt
18×add-exp-log
17×*-un-lft-identity
15×add-cube-cbrt
11×add-cbrt-cube
9×times-frac
8×pow-exp
7×cube-prod associate-*r*
6×pow1
5×sqrt-prod
4×expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×pow-unpow associate-*l* prod-exp div-inv associate-/l*
2×cbrt-undiv pow-to-exp sqrt-div associate-*r/ cbrt-unprod unswap-sqr sqr-pow
1×cube-mult pow-pow frac-2neg flip3-+ unpow1/3 unpow3 pow-prod-down clear-num associate-/r* *-commutative flip-+ fma-udef distribute-lft-out
Counts
4 → 101
Calls
4 calls:
14.0ms
(* z (sqrt (+ t a)))
3.0ms
(/ 2.0 (* t 3.0))
0.0ms
(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (pow (pow (/ 2.0 (* t 3.0)) 3) 1/3)))))
7.0ms
(pow (pow (/ 2.0 (* t 3.0)) 3) 1/3)

series511.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(* z (sqrt (+ t a)))
16.0ms
(/ 2.0 (* t 3.0))
203.0ms
(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (pow (pow (/ 2.0 (* t 3.0)) 3) 1/3)))))
226.0ms
(pow (pow (/ 2.0 (* t 3.0)) 3) 1/3)

simplify67.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0664694
12473569
25002556

prune708.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes229.0ms

Accuracy

0% (2.3b remaining)

Error of 2.6b against oracle of 0.3b and baseline of 2.6b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04418
14618
24618

end0.0ms

sample1.8s

Algorithm
intervals
Results
614.0ms8000×body80valid
564.0ms8040×body80nan